*Reports of Enlarged Session of the
Seminar of I. Vekua*

*Institute of Applied Mathematics*

Volume 18, # 1-2, 2003

ISSN 1512-0066

**Organaizing**** Commitee:** D. Gordeziani
(Chairman),

G. Jaiani,

**Chairmens**** of sections:** Prof.G. Jaiani & Prof. M. Basheleishvili

**Edited
by: **Prof.
T. Jangveladze, Prof. M. Svanadze & Prof. I. Tavkhelidze

**C O N T E N T S**

Programm of the Seminar of
I. Vekua Institute of Applied Mathematics.

**Avalishvili**** G. **On One Nonlocal
Time Problem for Hyperbolic Equation.

**Avalishvili**** M. **On the Investigation of a
Dynamical Model of Elastic Rods.

**Devdariani****
G., Gubelidze D.** On a System of Second Order
Degenerated Elliptic Equations on an Angular Domain.

**Jangveladze**** T., Kiguradze Z.** Estimates of a
Stabilization Rate as t→∞ of Solutions of a System of Nonlinear Integro-differential Equations.

**Kapanadze**** Dj.** On
a Nonlocal Boundary Value Problem for a Biharmonic Equation.

**Khatiashvili**** N.** On Linear Conjugation Problem for the Secationlly Holomorphic Double Quast-Periodic Functions.

**Komurjishvili****
O.**
There-layer Difference Schemes ror Multidimensional
Hyperbolic Equation.

**Kupreishvili**** T.** An Analogue of Saint-Venant's Principle.

**Lobjanidze**** G.** On the Variational
Formulation of Bitsadze-Samarskii Problem for the
Equation - ∆u+ λu=f.

**Nikolaishvili**** Sh., Rostomashvili Z. **A Numerical Model of the Light
Halo Around of a Laser Beam in the Earth's Atmosphere.

**Tavkhelidze****
I.**** **About Geometric Structure of Coefficients of one Differential Equation wich Defined the Apriory Energetic Estimate Saint-Venant's
Type.

**Tutberidze****
M.**
Comparison Theorems for one Nonlinear Diffusion System.

**Chocoraia**** D.** Theory of Non-Shallow Spherical Shell, when the
Vector of Displacement is Independent from the Thickness Coordinate x_{3}.

**Devdariani**** G., Danjgava R., Mosia M.** Investigation on an Equilibrium Problem of Plate for
St. Venant-Kirchhoff Materials by

**Gulua****
B.**
Application of

**Khmiadashvili**** M., Karseladze G.** Interaction of an Elastik and a Scalar Fields.

**Narmania**** M.** On Solving of one Problem for
Temperature Stresses in Transtropic Plate.

**Svanadze****
K.**
Explicit Solutions of Boundary Value Problems of Statics
in the Linear Theory of Elastic Mixtures for an Infinite Strip.

**Toradze**** D., Tsagareli I.** The
Solution of the Boundary-Contact Problems of Statics of the Theory of Elastic
Mixtures for