Symposium on Differential Equations and Mathematical Physics

July 23 - 25, 2001

R. Bantsuri

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

APPLICATION OF THE METHODS OF THE THEORY OF ANALYTIC FUNCTIONS IN THE THEORY OF ELASTICITY

( dvi | ps | pdf )

V. Kokilashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

A SURVEY OF RECENT RESULTS ON THE BOUNDARY VALUE PROBLEMS FOR HOLOMORPHIC FUNCTIONS

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R. Abdulaev

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON SOME FAMILIES OF MINIMAL SURFACES IN R³

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M. Ashordia^* and N. Kekelia^{* *}

^* I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia
^{* *} Sukhumi Branch of Tbilisi State University
Tbilisi, Georgia

ON THE NECESSARY AND SUFFICIENT CONDITIONS FOR THE STABILITY OF LINEAR SYSTEMS OF GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS

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T. Ephremidze

A. Tsereteli Kutaisi State University,
Kutaisi, Georgia

N. MUSKHELISHVILI ON THE REVERSE PROBLEM OF THE THERMAL RADIATION THEORY

T. Ephremidze and Sh. Kirtadze

A. Tsereteli Kutaisi State University, Kutaisi, Georgia

N. MUSKHELISHVILI ON ONE METHOD OF INTEGRATION OF HAMILTON-JAKOB'S MOTION EQUATIONS

G. Giorgadze

Institute of Cibernetics, Georgian Academy of Sciences
Tbilisi, Georgia

ON ONE PROPERTY OF A 2-RANK HOLOMORPHIC VECTOR BUNDLE ON THE RIEMANN SPHERE

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J. Gvazava

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON NONLINEAR HYPERBOLIC EQUATIONS WITH GENERAL SOLUTIONS REPRESENTABLE BY SUPERPOSITION OF ARBITRARY FUNCTIONS

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O. Jokhadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

NONEXISTENCE OF POSITIVE SOLUTIONS FOR SOME CLASSES OF NONLINEAR ELLIPTIC INEQUALITES IN R^N

( dvi | ps | pdf )

G. Kharatishvili

Institute of Cibernetics, Georgian Academy of Sciences
Tbilisi, Georgia

FORMULAE FOR THE GENERAL SOLUTIONS FOR SOME CLASSES OF LINEAR NONHOMOGENEOUS DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH VARIABLE COEFFICIENTS

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S. Kharibegashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

CHARACTERISTIC PROBLEMS FOR THE FIRST ORDER SYMMETRIC HYPERBOLIC SYSTEMS IN THE CONIC DOMAINS

( dvi | ps | pdf )

G. Khuskivadze and V. Paatashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

A NOTE ON A CONFORMAL MAPPING OF SIMPLY CONNECTED DOMAINS WITH JORDAN BOUNDARIES

( dvi | ps | pdf )

I. Kiguradze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON SINGULAR BOUNDARY VALUE PROBLEMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS

( dvi | ps | pdf )

L. Kokilashvili

I. Javakhishvili Tbilisi State University
Tbilisi, Georgia

ON FOURIER MULTIPLIERS AND THE SOLVABILITY OF CERTAIN SUPERLINEAR PDE

( dvi | ps | pdf )

V. Kokilashvili and A. Meskhi

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON A TRACE INEQUALITY FOR ONE-SIDED POTENTIALS AND APPLICATIONS TO THE SOLVABILITY OF NONLINEAR INTEGRAL EQUATIONS

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R. Koplatadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

COMPARISON THEOREMS FOR DEVIATED DIFFERENTIAL EQUATIONS

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N. Lazrieva and T. Toronjadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

THE ROBBINS-MONRO TYPE SDE. ASYMPTOTIC PROPERTIES OF SOLUTION AND AVERAGING PROCEDURES

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M. Menteshashvili

I. Javakhishvili Tbilisi State University
Tbilisi, Georgia

ON SOME NON-LOCAL PROBLEMS FOR QUASI-LINEAR HYPERBOLIC EQUATIONS WITH RECTILINEAR CHARACTERISTICS

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S. Mukhigulashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON A PERIODIC BOUNDARY VALUE PROBLEM FOR THE TWO-DIMENSIONAL LINEAR DIFFERENTIAL SYSTEM

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E. Obolashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

PLURIREGULAR, PLURIGENERALIZED REGULAR EQUATIONS IN CLIFFORD ANALYSIS

( dvi | ps | pdf )

N. Partsvania

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

BOUNDARY VALUE PROBLEMS FOR TWO-DIMENSIONAL DELAYED DIFFERENTIAL SYSTEMS

( dvi | ps | pdf )

Z. Sokhadze

A. Tsereteli Kutaisi State University
Kutaisi, Georgia

ON THE STRUCTURE OF THE SET OF SOLUTIONS OF THE WEIGHTED CAUCHY PROBLEM FOR HIGH ORDER EVOLUTION SINGULAR FUNCTIONAL DIFFERENTIAL EQUATIONS

( dvi | ps | pdf )

T. Tadumadze^* , N. Gorgodze^{* *} , and L. Alkhazishvili^{* * *}

^* I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia
^{* *} A. Tsereteli Kutaisi State University
Kutaisi, Georgia
^{* * *} I. Javakhishvili Tbilisi State University
Tbilisi, Georgia

VARIATION FORMULAS OF SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS AND THEIR APPLICATION TO OPTIMAL CONTROL PROBLEMS

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Z. Tsintsadze

I. Javakhishvili Tbilisi State University
Tbilisi, Georgia

OPTIMIZATION OF LINEAR CONTROLLED SYSTEMS WITH RESTRICTIONS OF "NARROW PLACE" TYPE

( dvi | ps | pdf )

T. Arens^*, S. N. Chandler-Wilde^*, and D. Natroshvili^{* *}

^* Department of Mathematics and Sciences, Brunel University
UK
^{* *}Georgian Technical University
Tbilisi Georgia

INTERFACE SCATTERING PROBLEMS

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R. Bantsuri and N. Shavlakadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

THE CONTACT PROBLEM FOR AN ANISOTROPIC WEDGE-SHAPED PLATE WITH AN ELASTIC STRENGTHENING OF VARIABLE RIGIDITY

( dvi | ps | pdf )

T. Buchukuri

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON DYNAMIC PROBLEMS OF GENERALIZED ELECTROELASTICITY

( dvi | ps | pdf )

T. Chilachava

Sukhumi Branch of Tbilisi State University
Tbilisi, Georgia

ON THE ASYMPTOTIC METHOD OF SOLUTION OF ONE CLASS OF NONLINEAR PROBLEMS OF MATHEMATICAL PHYSICS

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N. Chinchaladze

I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia

CYLINDRICAL BENDING OF SHELLS WITH CUSPED EDGES

( dvi | ps | pdf )

O. Chkadua

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

SOLVABILITY AND ASYMPTOTICS OF SOLUTIONS OF CRACK-TYPE BOUNDARY-CONTACT DYNAMIC PROBLEMS OF ELASTICITY THEORY

( dvi | ps | pdf )

A. Dzhishkariani

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

STABILITY OF THE PROJECTION-ITERATIVE METHOD FOR ONE CLASS OF SINGULAR INTEGRAL EQUATIONS

( dvi | ps | pdf )

A. Gachechiladze

Georgian Technical University
Tbilisi, Georgia

A MAXIMUM PRINCIPLE IN THE VARIATIONAL INEQUALITIES

( dvi | ps | pdf )

L. Giorgashvili and G. Karseladze

Georgian Technical University
Tbilisi, Georgia

A GENERAL REPRESENTATION FORMULA FOR A SOLUTION OF THE SYSTEM OF STATICS OF ELASTIC MIXTURES

( dvi | ps | pdf )

E. Gordadze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON THE PROBLEM OF LINEAR CONJUGATION IN THE CASE OF NON-SMOOTH LINES

( dvi | ps | pdf )

D. Gordeziani

I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia

ON I. VEKUA DIMENSIONAL-REDUCTION METHOD OF REDUCING THE MULTI-DIMENSIONAL PROBLEMS OF MATHEMATICAL PHYSICS ON LOWER-DIMENSIONAL ONES

( dvi | ps | pdf )

G. Jaiani

I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia

BOUNDARY VALUE PROBLEMS FOR ELASTIC BODIES WITH SINGULAR BOUNDARIES

( dvi | ps | pdf )

G. Kapanadze

I. Javakhishvili Tbilisi State University
Tbilisi, Georgia

ON ONE PROBLEM OF THE BENDING OF A PLATE FOR A FINITE DOUBLY-CONNECTED DOMAIN WITH A PARTIALLY UNKNOWN BOUNDARY

( dvi | ps | pdf )

G. Khatiashvili

N. Muskhelishvili Institute of Computational Mathematics,
Georgian Academy of Sciences
Tbilisi, Georgia

SAINT-VENANT'S PROBLEMS FOR COMPOSED BODIES BOUNDED BY ELLIPTIC SURFACES

( dvi | ps | pdf )

S. Kukujanov

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

SOME PROBLEMS OF OSCILLATION AND STABILITY OF ROTATION SHELLS CLOSE TO CYLINDRICAL ONES

( dvi | ps | pdf )

G. Kutateladze

N. Muskhelishvili Institute of Computational Mathematics,
Georgian Academy of Sciences
Tbilisi, Georgia

ON RIEMANN--HILBERT PROBLEM FOR PLANE WITH CUTS

( dvi | ps | pdf )

T. Meunargia

I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia

ON ONE I. N. VEKUA METHOD OF CONSTRUCTING THE NON-LINEAR THEORY OF NON-SHALLOW SHELLS

( dvi | ps | pdf )

Sh. Mzhavanadze

Poti Engineering-and-Economical Institute
Poti, Georgia

SOME PROBLEMS OF THE PLANE THEORY OF ELASTICITY FOR DOMAINS WITH PARTIALLY UNKNOWN BOUNDARIES

( dvi | ps | pdf )

A. Saginashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON NORMS OF SOME INTEGRAL OPERATORS

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J. Sanikidze and K. Ninidze

N. Muskhelishvili Institute of Computational Mathematics,
Georgian Academy of Sciences
Tbilisi, Georgia

ON APPLICATION OF SINGULAR INTEGRAL EQUATIONS TO A NUMERICAL SOLUTION OF SOME BOUNDARY PROBLEMS

( dvi | ps | pdf )

L. Shapakidze

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

ON BIFURCATION OF SECONDARY FLOWS OF VISCOUS INCOMPRESSIBLE FLUID BETWEEN TWO POROUS ROTATING CYLINDERS

( dvi | ps | pdf )

J. Sharikadze

I. Javakhishvili Tbilisi State University
Tbilisi, Georgia

SOLUTIONS OF BOUNDARY LAYER CONDUCTING FLUID PROBLEMS IN THE STRONG MAGNETIC FIELD

( dvi | ps | pdf )

O. Shinjikashvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

SOME PROBLEMS OF THE THEORY OF ELASTICITY FOR A NONHOMOGENEOUS PLANE WITH RECTILINEAR CRACKS

( dvi | ps | pdf )

D. Shulaia

I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia

SOLUTION OF ONE LINEAR INTEGRAL EQUATION OF THE THIRD KIND

( dvi | ps | pdf )

K. Svanadze

A. Tsereteli Kutaisi State University
Kutaisi, Georgia

ON THE INVESTIGATION OF FUNDAMENTAL PLANE CONTACT VALUE PROBLEM OF STATICS OF THE THEORY OF ELASTIC MIXTURES

( dvi | ps | pdf )

M. Svanadze

I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia

STEADY OSCILLATION PROBLEMS IN THE LINEAR THEORY OF THERMOELASTICITY OF BINARY MIXTURES

( dvi | ps | pdf )

A. Tsitskishvili

A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia

SOLUTION OF A TWO-DIMENSIONAL PROBLEM OF THE FILTRATION THEORY WITH THE PARTIALLY UNKNOWN BOUNDARY CONNECTED WITH UNDERGROUND WATER MOTION TOWARD THE EARTH EMBANKMENT SLOPE

( dvi | ps | pdf )

T. Vashakmadze

I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia

SOME PROBLEMS OF POROELASTICITY

( dvi | ps | pdf )

Sh. Zazashvili

Georgian Technical University
Tbilisi, Georgia

THE BASIC AND MIXED BOUNDARY VALUE PROBLEMS OF ELASTIC MIXTURES THEORY FOR INFINITE PLANE WITH CUTS

( dvi | ps | pdf )

D. Zeragia

N. Muskhelishvili Institute of Computational Mathematics,
Georgian Academy of Sciences
[0.1cm] Tbilisi, Georgia

ON SOME NONLINEAR PROBLEMS IN THE THEORY OF ELASTIC RODS

( dvi | ps | pdf )

R. Zivzivadze

N. Muskhelishvili Kutaisi Technical University
Kutaisi, Georgia

SOME BODY DYNAMICS PROBLEMS OF ELASTICITY AND THERMOELASTICITY

( dvi | ps | pdf )