Reports of Enlarged Session of the Seminar of I. Vekua

Institute of Applied Mathematics

Volume 16, # 1-3, 2001

ISSN 1512-0066

Reports

of enlarged session of the I.vekua Institute of Applied Mathematics

**This volume was supported by ISPM **(International School in Physics and Mathematics)

**Organaizing Commitee:** D. Gordeziani (Chairman), N. Avazashvili (Secretary),

G. Jaiani, I. Tavkhelidze.

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

**Edited by: **Prof. T.Jangveladze, Prof.M.Svanadze & Prof. R.Bochorishvili

C O N T E N T S

Section #1

Program of the Section of Partial Differential Equations

**Bagaturia G. **On an Nonlinear Version of Goursat Problem

**Devdariani G. **On a Linear Eliptic Equation With Non-power Degeneration

**Jangveladze T., Kiguradze Z. **Domain Decomposition for Bitsadze-Samarskii Boundary Value Problem.

**Khatiashvili N. **On One Boundary Value Problem for Double-periodic Analytic Functions

**Kiguradze Z. **On the Stationary Solution for One Diffusion Model

**Obolashvili E. **Paul Dirac and Clifford Analysis

**Sharikadze J. **Solution of Boundary Layer Equations of Conducting Fluide With Strong Suction.

**Tavkhelidze I. **On Some Properties of a Class of Geometrical Bodies

Section #2

Program of the Section of Solid Mechanics

**Bitsadze L. **On Some Solutions of Statics of the Theory of Elastic Transversally Isotropic Mixturs

**Giorgashvili L., Meladze R., Karseladze G. **Boundary-contact Problems for Domains Bounded by Ellipsoid of Rotation

**Janjgava R. **The Spherical Shell of Binary Mixture

**Kapanadze E. **Wavelet Bases Properties in Some Function Spaces

**Karseladze G. **The Interaction Between Two Bodies with Different Elastic Fieldes

**Meunargia T. **On the Two-dimensional Analogues for the Physically and Geometrically Non-linear Theory of Shells

**Svanadze K. **On the Dynamic Problem of the Elastic Mixtures for Isotropic Strip

**Zirakishvili N. **The Elliptic Semi-ring Stress Condition

Section #3

Section of Numerical Analysis

**Abesadze T., Rogava D. **On the Stabillity and Convergence of the Variational Difference Scheme of the Numerical Realisation of the Caucgy-Dirichlet Boundary value Problem for the Dynamic Equation of the Spherical Shell

**Bukhnikashvili I., **On Numerical Solution of One Certain Problem for Richardson’s Iteration,

**Davitashvili T., Mirianashvili J. **On One Numerical Model of Atmosperic Sediments

**Gegechkori Z., Rogava J., Tsiklauri M. **On Approximation of Semigroup by Rezolvents

**Katamadze E., Meladze H. **Approximate Solution of Cauchy Problem for One Class of Fuzzy Differential Equations

**Khvedelidze R. **On Reiterated Method of Finite Elements

**Lobjanidze G. **Note on Variational Formulation of Non-local Bitsadze-Samarski Problem

**Peradze J. **Iteration Process for Kirchoff’s String

**Sirbiladze G. **Fuzzy Measure Approximation on the Field of Insufficiant Expert Data

**Zakhradze M. **On Some Aspects of Solution Practical Problems by the Method of Conformal Mapping