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

Volume 9, # 1-3, 1994

This collection contains the reports which were delivered on April 20-22,1994 at the sections of enlarged session of the seminar of I.Vekua Institute of Applied Mathematics. Several reports were published in different scientific journals and only the titles of them are given in this collection.

Edited by

- G.Mangavidze
- L.Gogoladze
- P.Koplatadze

C O N T E N T S

# 1

**Giorgadze G.** On Connections with a Regular Singularity

**Khatiashvili G.** On the Normally Solvebility of the Singular Integral Equation in the Elasticity of the Anisotropic Medium

**Makatsaria G.** On One Thorem of Trigonometrical -convex Function

**Meunargia T.** On One Application of the Theory of Functions of a Complex Variable for Non-shallow Spherical Shells

**Sanikidze Z.** On Non-elementary Exetensions of the Haar Measure

#** 2**

**Akhobadze T.** On the Fourier coefficients of functions of bounded variation

**Epremidze L.** On a relation between the integrabilities of various maximal functions

**Getsadze R.** On pointwize comparision of trigonometric convolution

**Goginava U.** On the Uniform Covergence of Cesaro Means

**Gogoladze L.** On the Approximation of Functions of several Variables

**Kakabadze L.** On one Property of Exponents

**Lekishvili U.** On a Theorem of Embedding in the Orlicz Klass

**Tevzadze V.** On the Multiplies of Uniform Couvergence

**Tsagareishvili V.** About the Fourier Coefficient of the Functions of the Class *L _{2}*

**Ugulava D.** On Some Estimates Containing the Integrals of Functional Order

**Oniani G.** On the Trigonometric Covolution Process of Fejer's Type

**Pantsulaia G.** On Non-elementary Exetentions of the Haar Measure

#** 3**

**Magnaradze L.** On Some Classes of Integro-Differential Equations

**Ashordia M.** On a Cauche-Nikkoletti Problem with the Unconnected Set of Solutions

**Gaprindashvili G.** On a Periodic Boundary Value Problem for Second Order Systems of Nonlinear Ordinary Differential Equations

**Mshvidobadze A.** A Boundary Value Problem for Forth Order\\ Differential Equations with Singularities

**Tskhovrebadze G.** On a Boundary Value Problem of the Vallee-Poussin Type for Systems of Linear Ordinary Differential Equations

**Sokhadze Z.** On the Uniqueness of the Solution for Evolutional Equations

**Abesadze G.** Some Boundary Value Problems for Systems of Ordinary Differential Equations

**Kokilashvili L.** On Proper Solutions of Higher Order Nonlinear Differential Equations

**Chkadua D.** Nonoscillatory Solutions of Nonlinear Differential Equations