Memoirs on Differential Equations and Mathematical Physics

 

Table of Contents: Volume 1, 1994


T. Kiguradze.
Some Boundary Value Problems for Systems of Linear Partial Differential Equations of Hyperbolic Type
Mem. Differential Equations Math. Phys. 1 (1994), pp. 1-144.
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Table of Contents: Volume 2, 1994


TENGIZ GEGELIA.
(Obituary)
Mem. Differential Equations Math. Phys. 2 (1994), pp. 1-2.
R. Kapanadze.
Factorization of Matrix-Functions and Regularization of Singular Integral Operators on Manifolds with Boundary
Mem. Differential Equations Math. Phys. 2 (1994), pp. 3-40.
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E. Shargorodsky.
An Lp-Analogue of the Vishik-Eskin Theory
Mem. Differential Equations Math. Phys. 2 (1994), pp. 41-146.
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Table of Contents: Volume 3, 1994


R. Koplatadze.
On Oscillatory Properties Of Solutions Of Functional Differential Equations
Mem. Differential Equations Math. Phys. 3 (1994), pp. 1-179.
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Table of Contents: Volume 4, 1995


S. Kharibegashvili.
Goursat and Darboux TypeProblems for Linear Hyperbolic Partial Differential Equations and Systems
Mem. Differential Equations Math. Phys. 4 (1995), pp. 1-127.
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Table of Contents: Volume 5, 1995


Sh. Gelashvili and I. Kiguradze.
On Multi-Point Boundary Value Problems for Systems of Functional Differential and Difference Equations
Mem. Differential Equations Math. Phys. 5 (1995), pp. 1-113.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS
M. Ashordia.
On the Stability of Solutions of Nonlinear Boundary Value Problems for Systems of Generalized Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 5 (1995), pp. 117-118.
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M. Ashordia.
On a Method of Construction of the Solution of the Multipoint Boundary Value Problem for a System of Generalized Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 5 (1995), pp. 119-121.
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A. Lomtatidze and N. Partsvania.
On Oscillatory Properties of Second Order Systems of Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 5 (1995), pp. 122-124.
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A. Lomtatidze and S. Mukhigulashvili.
On Periodic Solutions of Second Order Functional Differential Equations
Mem. Differential Equations Math. Phys. 5 (1995), pp. 125-126.
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I. Kiguradze and Z. Sokhadze.
Existence and Continuability of Solutions of the Initial Value Problem for the System of Singular Functional Differential Equations
Mem. Differential Equations Math. Phys. 5 (1995), pp. 127-130.
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Z. Sokhadze.
On a Theorem of Myshkis--Tsalyuk
Mem. Differential Equations Math. Phys. 5 (1995), pp. 131-132.
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Table of Contents: Volume 6, 1995


M. Ashordia.
On The Stability of Solutions of the multipoint Boundary Value Problem for The System of Generalized Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 6 (1995), pp. 1-57.
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Michael Basheleishvili.
Two-Dimensional Boundary Value Problems of Statics of the Theory of Elastic Mixtures
Mem. Differential Equations Math. Phys. 6 (1995), pp. 59-105.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS
I. Kiguradze.
On Solvability of Functional Equations in the Space of Continuous Vector Functions
Mem. Differential Equations Math. Phys. 6 (1995), pp. 109-112.
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M. Drakhlin and E. Litsyn.
Functional Differential Equations with Pulses
Mem. Differential Equations Math. Phys. 6 (1995), pp. 113-115.
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R. Koplatadze.
On Asymptotic Behaviour of Solutions of Linear Functional Differential Equations
Mem. Differential Equations Math. Phys. 6 (1995), pp. 116-118.
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R. Koplatadze and N. Partsvania
Criteria for Oscillation of Solutions of Two-Dimensional Differential Systems with Deviating Arguments
Mem. Differential Equations Math. Phys. 6 (1995), pp. 119-120.
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M. Ashordia.
On the Question of Solvability of the Periodic Boundary Value Problem for a System of Linear Generalized Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 6 (1995), pp. 121-123.
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S. Mukhigulashvili.
On a Two-Point Boundary Value Problem for Second Order Functional Differential Equations
Mem. Differential Equations Math. Phys. 6 (1995), pp. 124-126.
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G. Giorgadze.
On Oscillatory Properties of the $n$-th Order System of Differential Equations with Deviating Arguments
Mem. Differential Equations Math. Phys. 6 (1995), pp. 127-129.
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Z. Dola and I. Kiguradze.
On Asymptotic Behavior of Solutions of Second Order Linear Differential Equations
Mem. Differential Equations Math. Phys. 6 (1995), pp. 130-133.
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Table of Contents: Volume 7, 1996


Raphiel Chichinadze and Tengiz Gegelia.
Boundary Value Problems of Mechaniks of Continuum Media for a Sphere
Mem. Differential Equations Math. Phys. 7 (1996), pp. 1-222.
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Table of Contents: Volume 8, 1996


N. V. Azbelev and L. F. Rakhmatulina.
Theory of Linear Abstract Functional Differential Equations and Applications
Mem. Differential Equations Math. Phys. 8 (1996), pp. 1-102.
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Table of Contents: Volume 9, 1996


Merab Eliashvili.
On Quantum Fields and Systems With Ordered Ground State
Mem. Differential Equations Math. Phys. 9 (1996), pp. 1-170.
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Table of Contents: Volume 10, 1997


Tengiz Buchukuri and Tengiz Gegelia.
Some Dynamic Problems of The Theory of Electroelasticity
Mem. Differential Equations Math. Phys. 10 (1997), pp. 1-53.
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Mikheil Usanetashvili.
Boundary Value Problems for Some Classes of Degenerating Second Order Partial Differential Equations
Mem. Differential Equations Math. Phys. 10 (1997), pp. 55-108.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS
M. Ashordia.
On Successive Approximations for solving the Cauchy Problem for a System of Linear Generalized Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 10 (1997), pp. 111-112.
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N. Partsvania.
To the Question of Oscillation of Solutions of Two-Dimentional Differential Systems with Deviated Arguments
Mem. Differential Equations Math. Phys. 10 (1997), pp. 113-114.
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A. Lomtatidze.
On a Nonlocal Boundary Value Problem for Second Order Nonlinear Equations
Mem. Differential Equations Math. Phys. 10 (1997), pp. 115-118.
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T. Kiguradze.
On Sufficient Conditions of Existence and Uniqueness of Periodic in a Strip Solutions of Nonlinear Hyperbolic Equations
Mem. Differential Equations Math. Phys. 10 (1997), pp. 119-121.
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M. Ashordia.
On Systems of Linear Generalized Ordinary Differential and Integral Inequalities
Mem. Differential Equations Math. Phys. 10 (1997), pp. 122-124.
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A. Lomtatidze and S. Mukhigulashvili.
On a Two-Point Boundary Value Problem for Second Order Functional Differential Equations, I
Mem. Differential Equations Math. Phys. 10 (1997), pp. 125-128.
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T. Kiguradze.
On Unique Solvability of the Periodic Problem in the Plane for Linear Hyperbolic Equations
Mem. Differential Equations Math. Phys. 10 (1997), pp. 129-131.
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N. Kekelia.
On a Soccesive Approximations Method of Solving the Cauchy Problem for the System of Generalized Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 10 (1997), pp. 132-133.
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I. Kiguradze.
On Periodic Solutions of First Order Nonlinear Differential Equations with Deviating Arguments
Mem. Differential Equations Math. Phys. 10 (1997), pp. 134-137.
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R. Koplatadze and G. Kvinikadze.
On Oscillation of Second Order Linear Difference Equations with Deviated Arguments
Mem. Differential Equations Math. Phys. 10 (1997), pp. 138-139.
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I. Vitrichenko.
Critical Case of Multiple Pairs of Pure Imaginary Roots of a Nonautonomous Essentially Nonlinear Differential System
Mem. Differential Equations Math. Phys. 10 (1997), pp. 140-144.
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I. Vitrichenko.
Critical Case of Multiple Pairs of Pure Imaginary Roots of a Nonautonomous Essentially Nonlinear n-th Order Equation
Mem. Differential Equations Math. Phys. 10 (1997), pp. 145-149.
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A. Lomtatidze and S. Mukhigulashvili.
On a Two-Point Boundary Value Problem for Second Order Functional Differential Equations, II
Mem. Differential Equations Math. Phys. 10 (1997), pp. 150-152.
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M. Ashordia.
On the Existence of Nonnegative Solutions of the Periodic Boundary Value Problem for a System of Linear Generalized Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 10 (1997), pp. 153-156.
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I. Kiguradze and B. Puza.
On the Solvability of Boundary Value Problems for Systems of Nonlinear Differential Equations with Deviating Arguments
Mem. Differential Equations Math. Phys. 10 (1997), pp. 157-161.
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Ye. Galakhov.
On Differential Operators with Integral Conditions
Mem. Differential Equations Math. Phys. 10 (1997), pp. 162-163.
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Table of Contents: Volume 11, 1997


REVAZ GAMKRELIDZE IS 70
Mem. Differential Equations Math. Phys. 11 (1997), pp. 3-7.
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Dimitri Dzhgarkava
Problem of Optimal Control With One-Sided Mixed Restrictions for Controlled Objects Destribed by Integral Equations With Measure
Mem. Differential Equations Math. Phys. 11 (1997), pp. 9-46.
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Ioseb Gogodze and Koba Gelashvili.
Representation of c0-Semigroups of Operators by a Chronological Integral
Mem. Differential Equations Math. Phys. 11 (1997), pp. 47-66.
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Guram Kharatishvili and Tamaz Tadumadze.
The Problem of Optimal Control for Nonlinear Systems With Variable Structure, Delays and Piecewice Continuous Prehistory
Mem. Differential Equations Math. Phys. 11 (1997), pp. 67-88.
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Sergo Kharibegashvili.
On The Solvability of a Multidimensional Version of The Goursat Problem For a Second Order Hyperbolic Equation With Characteristic Degeneration
Mem. Differential Equations Math. Phys. 11 (1997), pp. 89-103.
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Zurab Tsintsadze.
The Lagrange Principle of Taking Restrictions Off and Its Application To Linear Optimal Control Problems in The Presence of Mixed Restrictions and Delays
Mem. Differential Equations Math. Phys. 11 (1997), pp. 105-128.
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Avtandil Tsitskishvili.
Solution of The Schwarz Differential Equation
Mem. Differential Equations Math. Phys. 11 (1997), pp. 129-156.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS
M. Ashordia.
On the question of solvability of the periodic boundary value problem for a system of generalized ordinary differential equations
Mem. Differential Equations Math. Phys. 11 (1996), pp. 159-162.
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L.F. Rakhmatulina.
The upper estimate of the spectral radius of the isotonic operator in the space of continuous functions
Mem. Differential Equations Math. Phys. 11 (1996), pp. 163-167.
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N. Gorgodze.
Continuous dependence of the solution of a class of neutral differential equations on the initial data and on the right-hand side
Mem. Differential Equations Math. Phys. 11 (1996), pp. 168-169.
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N. Izobov.
Estimates of the lower exponent of the two-dimensional linear system under perron perturbations
Mem. Differential Equations Math. Phys. 11 (1996), pp. 170-173.
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N.A. Izobov and S.N. Batan.
On exactness of upper estimates of the characteristic exponent of a linear system with exponentially decreasing perturbations
Mem. Differential Equations Math. Phys. 11 (1996), pp. 174-177.
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V. A. Rabtsevich
On a criterion of the absence of strongly increasing solutions of the emden-fowler equation
Mem. Differential Equations Math. Phys. 11 (1996), pp. 178-182.
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Table of Contents: Volume 12, 1997


R. Gilbert, G. Jaiani, G.Manjavidze.
Ilia Vekua's 90th Birthday Anniversary
Mem. Differential Equations Math. Phys. 12 (1997), pp 3-10.
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R. Finn.
Ilia N. Vekua: Some Recollections
Mem. Differential Equations Math. Phys. 12 (1997), p 11.
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N. Partsvania, T. Shervashidze.
The International Symposium on Differential Equations and Mathematical Physics Dedicated to the 90th Birthday Anniversary of Academician I. Vekua
Mem. Differential Equations Math. Phys. 12 (1997), p 12 .
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H. Begehr.
Iterations of Pompeiu Operators
Mem. Differential Equations Math. Phys. 12 (1997), pp 13-21 .
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T. Burchuladze.
On Three-Dimensional Dynamical Problems of the Generalized Theory of Elastothermodiffusion
Mem. Differential Equations Math. Phys. 12 (1997), pp 22-32 .
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S. Chelkak, A. Koshelev, and L. Oganesyan.
Regular Solutions of the Navier--Stokes System
Mem. Differential Equations Math. Phys. 12 (1997), pp 33-41.
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A. Cialdea.
The Brothers Riesz Theorem in Rn and Laplace Series
Mem. Differential Equations Math. Phys. 12 (1997), pp 42-49.
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A. Domoshnitsky, M. Drakhlin, and E. Litsyn.
On Boundary Value Problems for n-th Order Functional Differential Equations with Impulses
Mem. Differential Equations Math. Phys. 12 (1997), pp 50-56.
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R. Finn and J. Lu.
Some Remarkable Properties of h-Graphs
Mem. Differential Equations Math. Phys. 12 (1997), pp 57-61 .
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B. H. Gilding, R. Natalini, and A. Tesei.
How Parabolic Free Boundaries Approximate Hyperbolic Fronts
Mem. Differential Equations Math. Phys. 12 (1997), pp 62-67.
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J. Gvazava and S. Kharibegashvili.
To the Theory of Boundary Value Problems for Hyperbolic Type Equations and Systems
Mem. Differential Equations Math. Phys. 12 (1997), pp 68-75.
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L. Hatvani.
On the Armellini-Tonelli-Sansone Theorem
Mem. Differential Equations Math. Phys. 12 (1997), pp 76-81.
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M. X. He, P. Natalini, and P. E. Ricci.
Zeros' Asymptotic Distribution of Polynomials Orthogonal with Respect to Varying Weights
Mem. Differential Equations Math. Phys. 12 (1997), pp 82-89 .
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N. A. Izobov and R. A. Prokhorova.
Coppel--Conti Sets of Linear Systems
Mem. Differential Equations Math. Phys. 12 (1997), pp 90-98 .
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G. Kharatishvili and T. Tadumadze.
Development of the Theory of Optimal Systems with Delayed Arguments in Georgia
Mem. Differential Equations Math. Phys. 12 (1997), pp 99-105.
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I. Kiguradze and B. Puza.
On Boundary Value Problems for Functional Differential Equations
Mem. Differential Equations Math. Phys. 12 (1997), pp 106-113.
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V. Kokilashvili and V. Paatashvili.
Neumann Problem in a Class of Harmonic Functions in Domains with a Piecewise-Lyapunov Boundary
Mem. Differential Equations Math. Phys. 12 (1997), pp 114-121.
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T. Kusano and M. Naito.
A Singular Eigenvalue Problem for Second Order Linear Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 12 (1997), pp 122-130.
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V. Lakshmikantham.
dvances in UAS for Functional Differential Equations
Mem. Differential Equations Math. Phys. 12 (1997), pp 131-134.
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M. M. Lavrent'ev.
Interpretation of Astronomical Data Connected with N. A. Kozyrev's Discovery
Mem. Differential Equations Math. Phys. 12 (1997), pp 135-141.
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S. Leela.
Uncertain Dynamic Systems on Time Scales
Mem. Differential Equations Math. Phys. 12 (1997), pp 142-148.
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V. P. Maksimov and J. S. P. Munembe.
On the Question of Enclosing Solutions of Linear Functional Differential Systems
Mem. Differential Equations Math. Phys. 12 (1997), pp 149-156.
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F. G. Maksudov
Some Problems of the Spectral Theory of Operator Pencils
Mem. Differential Equations Math. Phys. 12 (1997), pp 157-164.
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L. A. Medeiros and J. L. Ferrel.
Elliptic Regularization and Navier--Stokes System
Mem. Differential Equations Math. Phys. 12 (1997), pp 165-177.
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F. Neuman.
The Global Transformations of Linear Differential Equations
Mem. Differential Equations Math. Phys. 12 (1997), pp 178-183.
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E. Obolashvili.
Generalized Holomorphic Functions and Clifford Analysis
Mem. Differential Equations Math. Phys. 12 (1997), pp 184-191.
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N. Kh. Rozov.
The Mathematical Theory of the Bufferness Phenomenon in Oscillatory Systems with Distributed Parameters
Mem. Differential Equations Math. Phys. 12 (1997), pp 192-195.
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I. P. Stavroulakis.
Oscillations of Functional Differential Equations
Mem. Differential Equations Math. Phys. 12 (1997), pp 196-203.
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W. Tutschke.
Interior Estimates in the Theory of Partial Differential Equations and Their Application to Initial Value Problems
Mem. Differential Equations Math. Phys. 12 (1997), pp 204-209.
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M. Tvrd.
Linear Integral Equations in the Space of Regulated Functions
Mem. Differential Equations Math. Phys. 12 (1997), pp 210-218.
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Z. D. Usmanov.
Complex Analysis Methods in the Theory of Infinitesimal Bendings of Surfaces with a Flat Point
Mem. Differential Equations Math. Phys. 12 (1997), pp 219-222.
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E. Wegert, G. Khimshiashvili, and I. Spitkovsky.
Nonlinear Transmission Problems
Mem. Differential Equations Math. Phys. 12 (1997), pp 223-230.
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Table of Contents: Volume 13, 1998


George Jorjadze.
Hamiltonian Reduction and Quantization on Symplectic Manifolds
Mem. Differential Equations Math. Phys. 13 (1998), pp 1-98.
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George Kvinikadze.
On Some Boundary Value Problems For High Order Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 13 (1998), pp 99-118.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS
M. Mania and R. Tevzadze.
Solution of Bellman's Equation by Means of a System of Nonlinear Singular Integral Equations
Mem. Differential Equations Math. Phys. 13 (1998), pp 121-129.
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J. D. Mirzov.
Asymptotic Representations of Oscillatory Solutions of a Nonlinear Equation
Mem. Differential Equations Math. Phys. 13 (1998), pp 130-131.
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G. Giorgadze.
On Oscillatory Properties of an n-th Order System of Linear Differential Equations with Deviating Arguments
Mem. Differential Equations Math. Phys. 13 (1998), pp 132-135.
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N. Izobov.
Linear Pfaff Systems with the Lower Characteristic Vectors' Set of Positive Lebesgue Measure
Mem. Differential Equations Math. Phys. 13 (1998), pp 136-139.
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N. Izobov and S. Krasovskii.
On Existence of a Measure Unbounded Exponential Spectral Quantization on Symplectic Manifolds
Mem. Differential Equations Math. Phys. 13 (1998), pp 140-144.
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L. Kokilashvili.
On a Certain Boundary Value Problem for Nonlinear Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 13 (1998), pp 145-147.
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R. Koplatadze and N. Partsvania.
On the Oscillation of Solutions of Two-Dimensional Linear Differential Systems with Deviated Arguments
Mem. Differential Equations Math. Phys. 13 (1998), pp 148-149.
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V. M. Evtukhov and E. V. Shebanina.
Asymptotic Behaviour of Solutions of n-th Order Differential Equations
Mem. Differential Equations Math. Phys. 13 (1998), pp 150-153.
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OBITUARY

T. Chantladze, N. Kandelaki, A. Lomtatidze, D. Ugulava.
Professor Iotam Kartsivadze
Mem. Differential Equations Math. Phys. 13 (1998), pp 154-158.
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Table of Contents: Volume 14, 1998


Givi Khuskivadze, Vakhtang Kokilashvili, and Vakhtang Paatashvili.
Boundary Value Problems for Analytic and Harmonic Functions in Domains
Mem. Differential Equations Math. Phys. 14 (1998), pp 1-195.
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Table of Contents: Volume 15, 1998


ENLARGED SESSIONS OF THE SEMINAR OF
A. RAZMADZE MATHEMATICAL INSTITUTE
DEDICATED TO THE 70TH BIRTHDAY ANNIVERSARY
OF TENGIZ GEGELIA

Tengiz Burchuladze and Roland Rukhadze.
Asymptotic Distribution of Eigenfunctions and Eigenvalues of Basic Boundary-Contact Oscillation Problems of The Couple-Stress Elasticity Theory
Mem. Differential Equations Math. Phys. 15 (1998), pp. 7-28.
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Otar Chkadua and Roland Duduchava.
Asymptotics of Solutions to some Boundary Value Problems of Elasticity for Bodies with Cuspidal Edges
Mem. Differential Equations Math. Phys. 15 (1998), pp. 29-58.
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Roland Gachechiladze and Otar Maisaia.
Some Qualitative Problems of the Linear Elasticity Theory
Mem. Differential Equations Math. Phys. 15 (1998), pp. 59-80.
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Avtandil Gagnidze.
Heat Distribution in A Medium With Concentrated Perturbation of Density
Mem. Differential Equations Math. Phys. 15 (1998), pp. 81-108.
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Avtandil Tsitskishvili.
Solution of Some Plane Filtration Problems With Partially Unknown Boundaries
Mem. Differential Equations Math. Phys. 15 (1998), pp. 109-138.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

R. Koplatadze.
Comparison Theorems for Deviated Differential Equations with Property A
Mem. Differential Equations Math. Phys. 15 (1998), pp. 141-144.
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Z. Sokhadze.
On the Solvability of the Weighted Initial Value Problem for High Order Evolution Singular Functional Differential Equations
Mem. Differential Equations Math. Phys. 15 (1998), pp. 145-149.
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S. A. Mazanik.
Lappo-Danilevski Systems under Lyapunov Transformations
Mem. Differential Equations Math. Phys. 15 (1998), pp. 150-152.
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N. Izobov.
On the Enumerable Set of Different Characteristic Sets of Solutions of a Pfaffian Linear System
Mem. Differential Equations Math. Phys. 15 (1998), pp. 153-156.
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S. A. Mazanik.
Lappo-Danilevski Systems and Their Place among Linear Systems
Mem. Differential Equations Math. Phys. 15 (1998), pp. 157-159.
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Table of Contents: Volume 16, 1999


SYMPOSIUM ON DIFFERENTIAL EQUATIONS
AND MATHEMATICAL PHYSICS DEDICATED
TO THE 95TH BIRTHDAY ANNIVERSARY OF
ACADEMICIAN V. KUPRADZE

M. Basheleishvili.
Two-Dimensional Problems of Elasticity of Anisotropic Bodies
Mem. Differential Equations Math. Phys. 16 (1999), pp 9-140.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

R. Koplatadze.
Comparison Theorems for Deviated Differential Equations with Property B
Mem. Differential Equations Math. Phys. 16 (1999), pp 143-147.
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G. Kvinikadze.
On Monotone Solutions of Linear Advanced Equations
Mem. Differential Equations Math. Phys. 16 (1999), pp 148-149 .
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M. Ashordia.
On Existence of Solutions of the Periodic Boundary Value Problem for Nonlinear System of Generalized Ordinary Differential Equations
Mem. Differential Equations Math. Phys. 16 (1999), pp 150-153.
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M. Grigolia.
On the Existence and Uniqueness of Solutions of the Goursat Problem for systems of Functional Partial Differential Equations of Hyperbolic Type
Mem. Differential Equations Math. Phys. 16 (1999), pp 154-158.
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Table of Contents: Volume 17, 1999


ACADEMICIAN TENGIZ BURCHULADZE'S
70th BIRTHDAY ANNIVERSARY

Lothar Jentsch and David Natroshvili.
Three-Dimensional Mathematical Problems of Thermoelastisity of Anisotropic Bodies, I
Mem. Differential Equations Math. Phys. 17 (1999), pp. 7-126.
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T. Chantladze, N. Kandelaki, and A. Lomtatidze.
On Zeros of Solutions of a Second Order Singular Half-Linear Equation
Mem. Differential Equations Math. Phys. 17 (1999), pp. 127-154.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

T. Tadumadze.
On New Necessary Condition of Optimality of Initial Moment in Control Problems with Delay
Mem. Differential Equations Math. Phys. 17 (1999), pp. 157-159.
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Table of Contents: Volume 18, 1999


Lothar Jentsch and David Natroshvili.
Three-Dimensional Mathematical Problems of Thermoelastisity of Anisotropic Bodies, II
Mem. Differential Equations Math. Phys. 18 (1999), pp. 1-50.
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Valeri G. Sushko.
Asymptotic Representations for Solutions of Bisingular Problems
Mem. Differential Equations Math. Phys. 18 (1999), pp. 51-159.
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Table of Contents: Volume 19, 2000


OTAR MAISAYA

G. Kharatishvili, T. Tadumadze, and N. Gorgodze.
Continous Dependence and Differentiability of Solution with Respect to Initial Data and Right-Hand Side for Differential Equations with Deviating Argument
Mem. Differential Equations Math. Phys. 19 (2000), pp. 3-105.
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Ravi P. Agarwal and Donal O'Regan.
Lidstone Continuous and Discrete Boundary Value Problems
Mem. Differential Equations Math. Phys. 19 (2000), pp. 107-125.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

K. Gelashvili.
Estimates of higher derivatives of the cauchy problem solution with respect to initial values.
Mem. Differential Equations Math. Phys. 19 (2000), pp. 129-132.
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M. Alves.
About a problem arising in chemical reactor theory.
Mem. Differential Equations Math. Phys. 19 (2000), pp. 133-141.
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R. Tevzadze.
Mixed problem for the bellman equation with measurable coefficients
Mem. Differential Equations Math. Phys. 19 (2000), pp. 142-149.
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N. Gorgodze.
Necessary conditions of optimality in neutral type optimal problems with non-fixed initial moment
Mem. Differential Equations Math. Phys. 19 (2000), pp. 150-153.
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R. Hakl.
On Nonnegative Bounded Solutions of Systems of Linear Functional Differential Equations
Mem. Differential Equations Math. Phys. 19 (2000), pp. 154-158.
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Table of Contents: Volume 20, 2000


S. Mukhigulashvili
Two-Point Boundary Value Problems for Second Order Functional Differential Equations
Mem. Differential Equathions Math. Phys. 20 (2000), pp. 1-112.
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T. Chantladze, N. Kandelaki, A. Lomtatidze, and D. Ugulava
The P-Laplacian and Connected Pairs of Functions
Mem. Differential Equathions Math. Phys. 20 (2000), pp. 113-126.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

L. Kokilashvili.
On a Nonlinear Two-Point Boundary Value Problem for Higher Order Ordinary Differential Equations
Mem. Differential Equathions Math. Phys. 20 (2000), pp. 129-132.
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E. Bravyi.
A Note on the Fredholm Property of Boundary Value Problems for Linear Functional Differential Equations
Mem. Differential Equathions Math. Phys. 20 (2000), pp. 133-135.
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T. Tadumadze and K. Gelashvili.
An Existence Theorem for a Class of Optimal Problems with Delayed Argument
Mem. Differential Equathions Math. Phys. 20 (2000), pp. 136-140.
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Z. Sokhadze.
On Uniqueness of Solution of the Weighted Initial Value Problem for Higher Order Evolution Singular Functional Differential Equations
Mem. Differential Equathions Math. Phys. 20 (2000), pp. 141-144.
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L. Kokilashvili.
On a Boundary Value Problem with a Weighted condition at Infinity for Even Order Nonlinear Ordinary Differential Equationsv
Mem. Differential Equathions Math. Phys. 20 (2000), pp. 145-148.
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V. A. Rabtsevich.
On Nonincreasing Singular Solutions Of the Emden--Fowler Equation
Mem. Differential Equathions Math. Phys. 20 (2000), pp. 149-153.
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N. Partsvania.
On a Boundary Value Problem for the Two-Dimensional System of Evolution Functional Differential Equations
Mem. Differential Equathions Math. Phys. 20 (2000), pp. 154-158.
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Table of Contents: Volume 21, 2000


R. Duduchava and B. Silbermann
Boundary Value Problems in Domains with Peaks
Mem. Differential Equathions Math. Phys. 21 (2000), pp. 1-122.
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REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

B. Puza and A. Rabbimov.
On a Weighted Boundary Value Problem for a System of Singular Functional Differential Equations
Mem. Differential Equathions Math. Phys. 21 (2000), pp. 125-130.
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L. Kokilashvili.
On the Existence of Proper and Vanishing at Infinity Solutions of Odd Order Nonlinear Ordinary Differential Equations
Mem. Differential Equathions Math. Phys. 21 (2000), pp. 131-133.
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M. Ashordia and N. Kekelia.
On Liapunov Stability of Linear Systems of Generalized Ordinary Differential Equations
Mem. Differential Equathions Math. Phys. 21 (2000), pp. 134-137.
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T. Tadumadze.
Local Representations for the Variation of Solutions of Delay Differential Equations
Mem. Differential Equathions Math. Phys. 21 (2000), pp. 138-141.
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N. Kekelia.
On Relation Between Stability and Correctness of Linear Systems of Generalized Ordinary Differential Equations
Mem. Differential Equathions Math. Phys. 21 (2000), pp. 142-145.
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V. A. Rabtsevich.
On Nondecreasing Singular Solutions of the Emden-Fowler Equation
Mem. Differential Equathions Math. Phys. 21 (2000), pp. 146-150.
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T. Tadumadze and K. Gelashvili.
The Existence Theorem for One Class of Optimal Problems in Banach Space
Mem. Differential Equathions Math. Phys. 21 (2000), pp. 151-156.
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Table of Contents: Volume 22, 2001


RAPHIEL KAPANADZE
Mem. Differential Equations Math. Phys. 22 (2001), pp. 1-2.
D. Kapanadze and B.-W. Schulze
Pseudo-Differential Crack Theory
Mem. Differential Equations Math. Phys. 22 (2001), pp. 3-76.
P. K. Palamides
Boundary Value Problems Via Vector Field an Alternative Approach
Mem. Differential Equations Math. Phys. 22 (2001), pp. 77-90.
N. Shavlakadze
Nonclassical Biharmonic Boundary Value Problems Describing Bending of Finite and Infinite Plates with Inclusions
Mem. Differential Equations Math. Phys. 22 (2001), pp. 91-140.

REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

M. Ashordia, N. Kekelia, and T. Chilachava
Criteria of stability for linear systems of generalized ordinary differential equations.
Mem. Differential Equations Math. Phys. 22 (2001), pp. 143-146.
T. Kiguradze and I. P. Stavroulakis
On existence of oscillatory solutions to higher order linear hyperbolic equations.
Mem. Differential Equations Math. Phys. 22 (2001), pp. 147-153.
T. Tadumadze and L. Alkhazishvili
Necessary sonditions of optimality for optimal problems with delays and with a discontinuity initial condition.
Mem. Differential Equations Math. Phys. 22 (2001), pp. 154-158.

Table of Contents: Volume 23, 2001


 

SYMPOSIUM ON DIFFERENTIAL EQUATIONS
AND MATHEMATICAL PHYSICS DEDICATED
TO THE 110TH BIRTHDAY ANNIVERSARY
OF ACADEMICIAN N. MUSKHELISHVILI
Mem. Differential Equations Math. Phys. 23 (2001), pp. 1-2.
Revaz Bantsuri
Application of the Theory of Analytic Functions to the Theory of Elasticity
Mem. Differential Equations Math. Phys. 23 (2001), pp. 3-16.
Avtandil Gachechiladze
A Maximum Principle and the Implicit Signorini Problem
Mem. Differential Equations Math. Phys. 23 (2001), pp. 17-50.
R. Hakl, A. Lomtatidze, and B. Puza
On Nonnegative Solutions of First Order Scalar Functional Differential Equations
Mem. Differential Equations Math. Phys. 23 (2001), pp. 51-84.
Vakhtang Kokilashvili
A Survey of Recent Results of Georgian Mathematicians on Boundary Value Problems for Holomorphic Functions
Mem. Differential Equations Math. Phys. 23 (2001), pp. 85-138.

REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

B. Puza
On unique solvability of boundary value problems for systems of linear functional differential equations.
Mem. Differential Equations Math. Phys. 23 (2001), pp. 141-146.
M. Ashordia and N. Kekelia
On the question of stability of linear systems of generalized ordinary differential equations.
Mem. Differential Equations Math. Phys. 23 (2001), pp. 147-151.
M. A. Demenchuk
On partially irregular almost periodic solutions of differential systems with diagonal right-hand side.
Mem. Differential Equations Math. Phys. 23 (2001), pp. 152-154.
N. Kekelia
Some sufficient conditions for $\xi$-exponentially asymptotically stability of linear systems of generalized ordinary differential equations.
Mem. Differential Equations Math. Phys. 23 (2001), pp. 155-158.

Table of Contents: Volume 24, 2001


TEIMURAZ CHANTURIA
Mem. Differential Equations Math. Phys. 24 (2001), pp. 1-4.
Zdzislav Kamont
Functional Differential and Difference Inequalities with Impulses
Mem. Differential Equations Math. Phys. 24 (2001), pp. 5-82.
R. Hakl, A. Lomatidze, and B. Puza
On Periodic Solutions of First Order Nonlinear Funcional differential Equations of Non-Volterra's Type
Mem. Differential Equations Math. Phys. 24 (2001), pp. 83-105.

REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

V. Rotar and T. Shervashidze
On an extremum problem.
Mem. Differential Equations Math. Phys. 24 (2001), pp. 109-114.
R. Koplatadze
Comparison theorems for differential equations with several deviations. The case of property A.
Mem. Differential Equations Math. Phys. 24 (2001), pp. 115-124.
R. Koplatadze
Property A of high order linear differential equations with several deviations.
Mem. Differential Equations Math. Phys. 24 (2001), pp. 125-135.
T. Tadumadze
Necessary conditions of optimality for an optimal problem with variable delays and with a continuous condition.
Mem. Differential Equations Math. Phys. 24 (2001), pp. 136-139.
V. M. Evtukhov
Asymptotic representations of solutions of ordinary differential equations of n-th order.
Mem. Differential Equations Math. Phys. 24 (2001), pp. 140-145.
I. Kiguradze, N. Partsvania, and I. P. Stavroulakis
On advanced functional differential equations with properties A and B.
Mem. Differential Equations Math. Phys. 24 (2001), pp. 146-150.
E. A. Barabanov and A. V. Konyukh
Bohl exponents of linear differential systems.
Mem. Differential Equations Math. Phys. 24 (2001), pp. 151-158.

Table of Contents: Volume 25, 2002


M. Tvrd
Differential and Integral Equations in the Space of Regulated Functions
Mem. Differential Equations Math. Phys. 25 (2002), pp. 1-104.
M. Benchohra, J. Henderson, and S. K. Ntouyas
Existence Results for Impulsive Semilinear Neutral Functional Differential Equations in Banach Spaces
Mem. Differential Equations Math. Phys. 25 (2002), pp. 105-120.
D. Kapanadze
Pseudo-Differential Equations in Anisotropic Weighted Bessel Potential Spaces with Asymptotics
Mem. Differential Equations Math. Phys. 25 (2002), pp. 121-150.

REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

Z. Sokhadze
On the structure of the set of solutions of the weighted cauchy problem for high order evolution singular functional differential equations.
Mem. Differential Equations Math. Phys. 25 (2002), pp. 153-155.
I. Kiguradze, N. Partsvania, and I. P. Stavroulakis
On oscillatory solutions of nonlinear differential equations with advanced arguments.
Mem. Differential Equations Math. Phys. 25 (2002), pp. 156-158.

Table of Contents: Volume 26, 2002


Professor Nikolai Viktorovich Azbelev is 80
Mem. Differential Equations Math. Phys. 26 (2002), pp. 1-7.
A. R. Abdullaev
Steady Properties of Elements in Banach Spaces
Mem. Differential Equations Math. Phys. 26 (2002), pp. 9-30.
M. J. Alves, A. V. Chistyakov, and P. M. Simonov
On Sufficient Condition of Stability for the First Order Differential Equation with Retarded Argument
Mem. Differential Equations Math. Phys. 26 (2002), pp. 31-42.
E. I. Bravyi and S. A. Gusarenko
On a Class of Generalized Variational Inequalities
Mem. Differential Equations Math. Phys. 26 (2002), pp. 43-54.
M. Crsmareanu
Adjoint Variables: A Common Way to First Integrals and Inverse Problems
Mem. Differential Equations Math. Phys. 26 (2002), pp. 55-64.
R. Hakl, A. Lomtatidze, and J. remr
On Constant Sign Solutions of a Periodic Type Boundary Value Problems for First Order Functional Differential Equations
Mem. Differential Equations Math. Phys. 26 (2002), pp. 65-90.
A. N. Rumyantsev
The Constructive Study of Differential Equations with Deviated Argument
Mem. Differential Equations Math. Phys. 26 (2002), pp. 91-136.

REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

R. Koplatadze
Comparison theorems for differential equations with several deviations. The case of property B.
Mem. Differential Equations Math. Phys. 26 (2002), pp. 139-148.
V. Malygina
On estimates of sign-definite solutions of linear equations with delay.
Mem. Differential Equations Math. Phys. 26 (2002), pp. 149-152.
M. Drakhlin and E. Litsyn
Convergence of sequences of internal superposition operators in ideal spaces.
Mem. Differential Equations Math. Phys. 26 (2002), pp. 153-159.

Table of Contents: Volume 27, 2002


G. Khimshiashvili
Geometric Aspects of Riemann-Hilbert Problems
Mem. Differential Equations Math. Phys. 27 (2002), pp. 1-114.
S. Kharibegashvili
On the Solvability of Some Boundary Value Problems Symmetric First Order Hyperbolic Systems in a Dihedral Angle
Mem. Differential Equations Math. Phys. 27 (2002), pp. 115-144.

REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

N. Izobov and E. Krupchik
The description of the arbitrary lower boundary degree set of the linear Pfaff system solution.
Mem. Differential Equations Math. Phys. 27 (2002), pp. 147-151.
B. Puza
On boundary value problems for systems of linear functional differential equations with a small parameter.
Mem. Differential Equations Math. Phys. 27 (2002), pp. 152-156.

Table of Contents: Volume 28, 2003


Ravi P. Agarwal, Said R. Grace and Donal O'Regan
Oscillation Criteria for Sublinear and Superlinear Second Order Differential Inclusions
Mem. Differential Equations Math. Phys. 28 (2003), pp. 1-12.
Ravi P. Agarwal, Haishen L and Donal O'Regan
An Upper and Lower Solution Method for the One-Dimensional Singular $p$-Laplacian
Mem. Differential Equations Math. Phys. 28 (2003), pp. 13-32.
Ravi P. Agarwal, Haishen L and Donal O'Regan
Positive Solutions for the Boundary Value Problem $(| u''|^{p-2}u'')''-\lambda q(t)f(u(t))=0$
Mem. Differential Equations Math. Phys. 28 (2003), pp. 33-44.
V. Amel'kin
Qualitative and Quantitative Characteristics of Limit Cycles
Mem. Differential Equations Math. Phys. 28 (2003), pp. 45-74.
Daqing Jiang, Lili Zhang and Ravi P. Agarwal
Monotone Method for First Order Periodic Boundary Value Problems and Periodic Solutions of Delay Difference Equations
Mem. Differential Equations Math. Phys. 28 (2003), pp. 75-88.
J. Mirzov
Nonoscillatory Solutions of Some Differential Systems
Mem. Differential Equations Math. Phys. 28 (2003), pp. 89-107.
A. Tsitskishvili
Connection Between Solutions of the Schwarz Nonlinear Differential Equation and Those of the Plane Problems Filtration
Mem. Differential Equations Math. Phys. 28 (2003), pp. 109-137.

REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

T. Kiguradze
On initial-boundary value problems for degenerate linear hyperbolic systems
Mem. Differential Equations Math. Phys. 28 (2003), pp. 141-146.
M. Ashordia and N. Kekelia
On effective sufficient conditions for stability of linear systems of impulsive equations
Mem. Differential Equations Math. Phys. 28 (2003), pp. 147-151.
N. Izobov and E. Krupchik
The construction of the linear Pfaff system with the arbitrarily given boundary degree sets
Mem. Differential Equations Math. Phys. 28 (2003), pp. 152-158.

Table of Contents: Volume 29, 2003


S. Kharibegashvili
On the Correct Formulation of Some Boundary Value Problems for Symmetric Hyperbolic Systems of First Order in a Dihedral Angle
Mem. Differential Equations Math. Phys. 29 (2003), pp. 1-30.
V. Kokilashvili, A. Meskhi, and S. Samko
On the Inversion and Characterization of the Riesz Potentials in the Weighted Lebesgue Spaces
Mem. Differential Equations Math. Phys. 29 (2003), pp. 31-45.
E. K. Makarov
Vector Optimization Tools in Asymptotic Theory of Total Differential Equations
Mem. Differential Equations Math. Phys. 29 (2003), pp. 47-74.
J. remr and P. remr
On a Two Point Boundary Problem for First Order Linear Differential Equations with a Deviating Argument
Mem. Differential Equations Math. Phys. 29 (2003), pp. 75-124.
T. Tadumadze and L. Alkhazishvili
Formulas of Variation of Solution for Non-Linear Controlled Delay Differential Equations with Discontinuous Initial Condition
Mem. Differential Equations Math. Phys. 29 (2003), pp. 125-50.

REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

L. Alkhazishvili
The linearized maximum principle for optimal problems with variable delays and continuous initial condition
Mem. Differential Equations Math. Phys. 29 (2003), pp. 153-155.
I. Ramishvili
Formulas of variation of solution for quasi-linear controlled neutral differential equations
Mem. Differential Equations Math. Phys. 29 (2003), pp. 156-159.

Table of Contents: Volume 30, 2003


VICTOR KUPRADZE
Mem. Differential Equations Math. Phys. 30 (2003), pp. 1-9.
Dorina Mitrea and Marius Mitrea
Poisson Problems With Half-Dirichlet Boundary Conditions For Dirac Operators On Nonsmooth Manifolds
Mem. Differential Equations Math. Phys. 30 (2003), pp. 9-49.
David Natroshvili and Simon N. Chandler-Wilde
The Dirichlet Metaharmonic Green'S Function For Unbounded Regions
Mem. Differential Equations Math. Phys. 30 (2003), pp. 51-103.
David Natroshvili, Tilo Arens, Simon N. Chandler-Wilde
Uniqueness, Existence, and Integral Equation Formulations for Interface Scattering Problems
Mem. Differential Equations Math. Phys. 30 (2003), pp. 105-146.

 

REPORTS OF THE TBILISI SEMINAR
ON QUALITATIVE THEORY OF
DIFFERENTIAL EQUATIONS

M. Ashordia and N. Kekelia
On the comparison theorems for stability of linear systems of impulsive equations
Mem. Differential Equations Math. Phys. 30 (2003), pp. 149-152.
V. M. Evtukhov and L. A. Kirillova
Asymptotic representations for unbounded solutions of second order nonlinear differential equations close to equations of Emden-Fowler type
Mem. Differential Equations Math. Phys. 30 (2003), pp. 153-158.