ABSTRACTS
Section I. DIFFERENTIAL EQUATIONS
Section II. MATHEMATICAL PHYSICS
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ABSTRACTS
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L. Alkhazishvili
I. Javakhishvili Tbilisi State University
Tbilisi, Georgia
OPTIMAL PROBLEMS WITH INCOMMENSURABLE DELAYS AND WITH CONTINUOUS AND DISCONTINUOUS INITIAL CONDITION
M. Ashordia and N. Kekelia
Sukhumi Branch of Tbilisi State University
Tbilisi, Georgia
ON THE ASYMPTOTIC STABILITY OF A CLASS OF SYSTEMS OF GENERALIZED LINEAR ORDINARY DIFFERENTIAL EQUATIONS
Gegechkori, J. Rogava, and M. Tsiklauri
I. Javakhishvili Tbilisi State University
Tbilisi, Georgia
THE THIRD AND FOURTH ORDER ACCURACY DECOMPOSITION FORMULAS FOR A SEMIGROUP
G. Giorgadze
Institute of Cibernetics, Georgian Academy of Sciences, Tbilisi, Georgia
FUCHSIAN SYSTEMS ON RIEMANN SURFACES
Dedicated to the memory of Andrey Bolibruch
J. Gvazava
A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
ON NONLINEAR GOURSAT PROBLEM WITH A FREE CHARACTERISTIC
T. Jangveladze and Z. Kiguradze
I. Javakhishvili Tbilisi State University
Tbilisi, Georgia
ON A SYSTEM OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS
G. Kharatishvili
Institute of Cybernetics, Georgian Academy of Sciences
Tbilisi, Georgia
GENERAL SOLUTIONS FOR SOME CLASSES OF LAME GENERALIZED AND CLASSICAL EQUATIONS
S. Kharibegashvili
A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
ON SOME NONLOCAL PROBLEMS FOR A WAVE EQUATION
G. Khimshiashvili
A. Razmadze Mathematical Institute,
Georgian Academy of Sciences
Tbilisi, Georgia
ELLIPTIC BOUNDARY PROBLEMS FOR CAUCHY-RIEMANN SYSTEMS
E. Khmaladze
Victorian University of Wellington
New Zealand
STOCHASTIC DIFFERENTIAL EQUATION FOR BROWNIAN MOTION UNDER BOUNDARY CONDITIONS
I. Kiguradze
A. Razmadze Mathematical Institute,
Georgian Academy of Sciences
Tbilisi, Georgia
ON A MULTI-POINT BOUNDARY VALUE PROBLEM FOR HIGHER ORDER SINGULAR DIFFERENTIAL EQUATIONS
T. Kiguradze
I. Javakhishvili Tbilisi State University
Tbilisi, Georgia
ON INITIAL-BOUNDARY VALUE PROBLEMS IN AN INFINITE STRIP FOR A NONLINEAR HYPERBOLIC EQUATION OF THIRD ORDER
M. Klebanskaya
Georgian Technical University, Tbilisi, Georgia
A NONLINEAR VERSION OF ASGEIRSSONIAN MEAN VALUE PROPERTY AND ITS APPLICATION TO CHARACTERISTIC PROBLEMS
V. Kokilashvili
A. Razmadze Mathematical Institute,
Georgian Academy of Sciences
Tbilisi, Georgia
ON THE SOLVABILITY OF DIVERGENCE EQUATION IN THE THEORY OF INCOMPRESSIBLE FLUIDS
G. Kvinikadze
A. Razmadze Mathematical Institute,
Georgian Academy of Sciences
Tbilisi, Georgia
LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH PROPERTY A
L. Malaguti*, C. Marcelli**, and N. Partsvania***
* University of Modena and Reggio Emilia, Reggio Emilia, Italy
* * University of Ancona, Ancona, Italy
* * * A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
ON TRANSITIONAL SOLUTIONS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS
M. Mania* and R. Tevzadze**
* A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
* * Institute of Cybernetics, Georgian Academy of Sciences
Tbilisi, Georgia
AN EXPONENTIAL MARTINGALE EQUATION
T. Tadumadze* and I. Ramishvili**
* I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia
* * Georgian Technical University, Tbilisi, Georgia
FORMULAS OF VARIATION OF SOLUTION FOR QUASI-LINEAR CONTROLLED NEUTRAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS AND CONTINUOUS INITIAL CONDITIONS
Z. Tsintsadze
I. Javakhishvili Tbilisi State University
Tbilisi, Georgia
NECESSARY CONDITIONS OF OPTIMALITY TO LINEAR CONTROL SYSTEMS IN THE PRESENCE OF MIXED AND INTERMEDIATE RESTRICTIONS
R. Bantsuri and N. Shavlakadze
A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
THE CONTACT PROBLEM OF INTERACTION OF ELASTIC BEAM OF VARIABLE RIGIDITY WITH ELASTIC BASIS
G. Berikelashvili
A. Razmadze Mathematical Institute,
Georgian Academy of Sciences
Tbilisi, Georgia
ON A NONLOCAL GENERALIZATION OF THE DIRICHLET PROBLEM
G. Chavchanidze
A. Razmadze Mathematical Institute,
Georgian Academy of Sciences
Tbilisi, Georgia
NON-NOETHER SYMMETRIES IN HAMILTONIAN SYSTEMS
O. Chkadua
A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
ASYMPTOTICS OF SOLUTIONS OF MIXED BOUNDARY VALUE PROBLEMS OF ELECTROELASTICITY NEAR THE CUSPIDAL EDGES
A. Dzhishkariani
A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
PROJECTIVE METHODS FOR THE ELLIPTIC BOUNDARY VALUE PROBLEMS
G. Jorjadze
A. Razmadze Mathematical Institute,
Georgian Academy of Sciences
Tbilisi, Georgia
POISSON STRUCTURE OF WZNW THEORY
D. Kapanadze
A. Razmadze Mathematical Institute,
Georgian Academy of Sciences
Tbilisi, Georgia
ASYMPTOTICS OF POTENTIALS ON MANIFOLDS WITH EDGE SINGULARITIES
G. Kapanadze
I. Javakhishvili Tbilisi State University
Tbilisi, Georgia
ON THE PROBLEM OF SEARCH FOR SMOOTH STIFF CONTOUR IN CASE OF PLATE BENDING
G. Khatiashvili
N. Muskhelishvili Institute of Computational Mathematics,
Georgian Academy of Sciences
Tbilisi, Georgia
DIRICHLET'S AND NEUMAN'S PROBLEMS FOR LAYERED ELLIPTIC MEDIUMS
J. Peradze
I. Javakhishvili Tbilisi State University
Tbilisi, Georgia
THE SOLVABILITY OF A NONLINEAR INITIAL BOUNDARY VALUE PROBLEM FOR A BEAM AND THE ALGORITHM OF CONSTRUCTION OF ITS APPROXIMATE SOLUTION
L. Shapakidze
A. Razmadze Mathematical Institute,
Georgian Academy of Sciences
Tbilisi, Georgia
THE EFFECT OF A TRANSVERSE PRESSURE GRADIENT ON THE STABILITY OF FLOW BETWEEN TWO PERMEABLE CYLINDERS
J. Sharikadze
I. Javakhishvili Tbilisi State University
Tbilisi, Georgia
EQUATIONS OF DYNAMIC, TEMPERATURE AND MAGNETIC BOUNDARY LAYERS AND THEIR INTEGRATION
M. Svanadze
I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia
POTENTIAL METHOD IN THE THEORY OF THERMOELASTICITY WITH MICROTEMPERATURES
A. Tsitskishvili and R. Tsitskishvili
A. Razmadze Mathematical Institute, Georgian Academy of Sciences
Tbilisi, Georgia
ON THE CONSTRUCTION OF SOLUTIONS OF CERTAIN SPATIAL AXISYMMETRIC MIXED PROBLEMS OF FILTRATION WITH PARTIALLY UNKNOWN BOUNDARIES
T. Vashakmadze
I. Vekua Institute of Applied Mathematics
Tbilisi, Georgia
TO SOME THERMO-DYNAMICAL NONLINEAR SPATIAL PROBLEMS OF PIEZO-PORO-ELASTICITY FOR BINARY MIXTURE
D. Zeragia
N. Muskhelishvili Institute of Computational Mathematics,
Georgian Academy of Sciences
Tbilisi, Georgia
CONSTRUCTION OF SMALL SOLUTIONS OF THE BOUNDARY VALUE PROBLEM FOR A SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION CONNECTED WITH TRANSVERSE-LONGITUDINAL ROD BENDING