Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics

Volume 10, # 1, 1995

This collection contains the reports which were delivered on April 21-23, 1995 at the section of Partial Differential Equations of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics.

Chairman of seminar

- G. Jaiani

Edited by

- T. Jangveladze

C O N T E N T S

**Aptsiauri M.** Three-Level Difference Schemes for One Nonlinear System of Partial Differential Equations

**Babilodze I.** Boundary Value Problems for Second Order Linear Loaded Strictly Hyperbolic Systems

**Bochorishvili R.** Quasivariational Formulation of One Controllability Problem for Nonlinear Scalar Conservation Laws

**Bochorishvili R., Jaiani D.** Quasikinetic Formulation of Some Boundary Problems for Some Ordinary Differential Equations

**Chartolani R.** On General Solutions of Euler-Darboux-Poisson Equation

**Chichua G.** On a Boundary-Contact Problem for a Solid-Fluid Model

**Chinchaladze N.** Cylindrical Bending of the Prismatic Shells with Two Sharp Edges in Case of a Strip

**Gugulashvili Y.** The Uniqueness of the Solution of Cauchy Problem for some Differential Equation of 2p Order

**Iremadze N., Jangveladze T.** On Limiting Process and Two Difference Schemes for Charney Regularized Equation

**Jaiani G.** On a Way of Solution of Boundary Value Problems for a Class of Third Order Partial Differential Equations

**Jangveladze T., Kiguradze Z.** The Asymptotic Behaviour of the Solution of One Nonlinear Integro-Differential Parabolic Equation

**Jokhadze O.** The Darboux Type Problem in a Dihedral Angle for Third Order Equations of Hyperbolic Type

**Kharibegashvili S.** On a Non-Characteristic Multidimensional Problem of Darboux Type the Wave Equation

**Khatiashvili N.** On the Nonlinear Plane Boundary Problem

**Kiguradze Z.** Domain Decomposition and Parallel Algorithm for Bitsadze-Samarski Boundary Value Problem

**Klebanskaya M.** On Cauchy and Goursat Problems for the Class of Quasilinear Mixed Type Equations

**Komurjishvili** The Construction of Difference Scheme for a Nonhomogenous Biharmonic Equation with the Method of the Functions Derivative in Direction

**Magnaradze L.** Some Classes of Lineal Partial Differential Equations with Two and three Independent Variables and their Applications

**Maisuradze G.** About Uniqueness of the Solution of High Order Parabolic Equation with Growing Coefficients

**Makharadze T.** On The Solvability of a Problem of Oblique Derivative for the Second Order Hyperbolic Equation

**Mosidze B.** A Non-local Spatial Problem for the Third Order Equation with a Dominant Derivative

**Sharikadze J.** Two Dimensional Unsteady Problem of the Viscous Fluid Flow with Heat Transfer

**Shulaia D.** For the Question of the Fredholms Equation of the Third Kind

**Tavkhelidze I.** On the Behavior of Solutions of the One Class Elliptic Equations

**Tkeshelashvili G.** A Problem on Continuous Body (Substance) Consisting of a Liquid and a Solid Flexible Body (Corpus)

**Tugushi A., Chotorlishvili L.** The Burned out Holes Width in the Ferromagnetic

**Usanetashvili M.** The Poincare Problem for a Mixed Type Equation with Two-Dimensional Domain of Parabolicity

**Zarnadze D., Zotniashvili S.** On the Existence of a Solution of an Equation with a Symmetric and Positive Definite Operator in Some Frechet Spaces