Reports of Enlarged Session of the Seminar of I. Vekua

Institute of Applied Mathematics

Volume 15, # 1-3, 2000

ISSN 1512-0066

Reports

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

This activity was suppurted by International School in Physics and Mathematics (ISPM) as 6-th Course: Modern Methods of Functional Analysis and it’s Applications

**Coordinator of –ISPM **- I.Tavkhelidze

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

G. Jaiani, I. Tavkhelidze.

**Chairmens of sections:** Prof. T.Meunargia, Prof. T.Tadumadze & Prof. L.Gogoladze

C O N T E N T S

Section #1

Program of the Section of Complex Analysis and its Applications

**Gordadze E. **On the boundary value problem of linear conjugation for radon lines and some measurable ciefficients

**Janjgava R. **Solution of the problem, for temperature stresses in plate, using I. Vekua method

**Kapanadze G. **Solving a problem of a bending of the plate with partly unknown boundary using complex analysis

**Mosia M. **The solution of some problems in the non-linear theory of plate by I. Vekua’s method

**Narmania M. **The solution some problems of bending of plates by I. Vekua’s theory

**Papukashvili A. **Unplane problems of theory of elasticity with cracks of slackened piecewice-homogeneous plane

**Rokva J. **Stress intensity factors in some problems of the 2-dimensional elasticity for angular domains

Section #2

Program of the Section of Ordinary Differential Equtions and Optimal Control Theory

**Shulaia D. **On a one special fredholms integral equation of the third kind

**Abuladze T., Dochviri B. **On the pricing of the American options

**Alkhazishvili L. **About local reprezentations of the variation of solutions for one class controled system with delays

**Ashordia M. **Criteria of correctness of linear boundary value problems for systems of ordinary differential equations

**Avalishvili M., Kokilashvili L. **On the existence of proper solutions of odd order nonlinear ordinary differential equations

**Dochviri B., Shashashvili M. **On the convergence of costs in the problem of optimal stopping in the scheme of kalman-bucy

**Domshlak Y., Kvinikadze G., Stavroulakis I. **Sturmian comparison method: the version for the first order neutral differential equations

**Gelashvili K., Tadumadze T. **The existence theorem for one class of multidimentional variationall problem

**Gorgodze N., Tsereteli A. **Local reprezentations for the variation of solutions of some class neutral differential equations

**Kekelia N. **On the stability of linear systems of generalized ordinary differential equations

**Kharatishvili G. **Dynamic control macroeconomical mathematical model of output the production based on the generalized principle of acceleration and optimal control problem

**Koplatadze R., Partsvania N. **Oscillatory properties of solutions of two- dimensional linear differential systems with deviated arguments

**Tsintsadze Z. **About one problem of synthesis of optimal control

Section #3

Program of the Section of Functional Amalysis, Theory of Functions and their Applications

**Goginava U. **On the embedding of classes H w and V[n (n)] in the class BV(P(n) ¥ )

**Goginava U. **On the uniform summability of multiple trigonometric Fourier series

**Gogoladze L. **On the maximal functions of several variables

**Gogoladze L., Meskhia R. **On the absolute convergence of Fourier trigonometric series

**Kapanadze E. **On a problem of the plate bending for a finite two connected domain with a partially unknown boundary

**Karchava T. **On the approximate properties of Fourier series

**Khazhalia I. **On the properties of some operators with respect to wavelet bases

**Lepsveridze J., Mchedlishvili D. **On the Growth order of integral means functions from LF (L)(R^{n})

**Toradze T. **Superposition of functions and the series of Fourier coefficients

**Tsagareishvili V. **On the Fourier-Haar coefficients of continiuous functions