Contents

The Robin Problem for the Helmholtz Equation in

a Three-Dimensional Starlike Domain

D. Caratelli, J. Gielis, P. E. Ricci
Article (pdf)    ..................................................... 5 
 

Exponentially Convergent Method for Abstract

Cauchy Problem With Nonlinear Nonlocal Condition
V.  Makarov, D. Sytnyk, V. Vasylyk
Article (pdf)    .................................................... 18 
 

Exact L_1-Conservative Finite-Difference Scheme for

the Neumann Problem for the Heat Conduction

P. Matus,  D.  Poliakov
Article (pdf)   ..................................................... 33 
 

Method of Refinement by Higher Order Differences

for Elliptic Equations with Bitsadze - Samarskii Type

Nonlocal Boundary Conditions
G. Berikelashvili1,  B. Midodashvili
Article (pdf)   ..................................................... 44 
 

About Some Exact Solutions of Nonlinear System of the

Differential Equations Describing Three-Party Elections

T. Chilachava
Article (pdf)   ..................................................... 58
 

Mathematical Modeling of Natural Gas Leak Detection

and Localization in the Branched Pipelines

T. Davitashvili, G. Gubelidze, M. Sharikadze
Article (pdf)   ..................................................... 74
 

Splitting of the Semi-Discrete Schemes of Solution the

Evolutionary Equation with Variable Operator on Two-Level

Schemes and Estimation of the Approximate Solution Error

R.G. Galdava, D.V. Gulua, J.L. Rogava
Article (pdf)   ..................................................... 89
 

Difference Scheme for One System of Nonlinear

Parabolic Integro-Differential Equations

T. Jangveladze, Z. Kiguradze
Article (pdf)   ..................................................... 104
 

About One Problem of Plane Elasticity for a

Polygonal Domain with a Curvilinear Hole

G. Kapanadze, B. Gulua
Article (pdf)   ..................................................... 121
 

On Some Quadrature Formulas for Cauchy Type

Singular Integrals with Jacobi Weights

J. Sanikidze, M. Mirianashvili, K. Kupatadze
Article (pdf)   ..................................................... 130
 
 
 
Abstracts (Georgian)................................................. 142