Contents

Large Time Behavior of Solutions and Numerical Approximation of
Nonlinear Integro-Differential Equation Associated with the
Penetration of a Magnetic Field Into a Substance
M. Aptsiauri, T. Jangveladze, Z. Kiguradze  
Article (pdf)    ..................................................... 3 
 
On The Optimal Stopping Problem of Inhomogeneous Markov Process
P. Babilua, B. Dochviri, M. Patsatsia, G. Lominashvili  
Article (pdf)    .................................................... 18 
 
The Problem of Vibration of an Elastic Semi-Plane With The Crack 
Perpendicular to Its Boundary
G. Baghaturia  
Article (pdf)   ..................................................... 28 
 
The Second Bvp of Statics of the Theory of Elastic Transversally 
Isotropic Binary Mixtures for an Infinite Strip 
L. Bitsadze  
Article (pdf)   ..................................................... 33 
 
On Radon-Nikodym Density Estimates of the Solution of Differential 
Equations with a Random Right-Hand Part 
T. Buadze, E. Nadaraya, G. Sokhadze  
Article (pdf)   ..................................................... 40 
 
Mathematical Modeling of Some Peculiar Properties of Regional 
Climate Change
T. Davitashvili, A. Khantadze, K. Tavartkiladze 
Article (pdf)   ..................................................... 45
 
Investigation of the Circumstance of the Light-Signals Influence 
Upon the Harmful Substance Concentrations 
Distribution by Numerical Modelling
T. Davitashvili, D. Gordeziani, G. Geladze, M. Sharikadze  
Article (pdf)    .................................................... 62
 
On the Sufficient Conditions of Absolute Convergence of 
Double Trigonometric Series
L. Gogoladze,  V. Tsagareishvili  
Article (pdf)    .................................................... 67
 
On the Solution of Boundary Value Problem for Differential 
Equations Given in Graphs
D. Gordeziani, M. Kupreishvili, H. Meladze, T. Davitashvili  
Article (pdf)    .................................................... 80 
 
The Fourth Order of Accuracy Decomposition Scheme for 
Nonhomogeneous Hyperbolic Equation
J. Rogava, M. Tsiklauri 
Article (pdf)    .................................................... 92 
 
On Error Estimation of Symmetric Decomposition Scheme for 
Multidimensional Evolution Problem 
J. Rogava, M. Tsiklauri 
Article (pdf)    .................................................... 111
 
An Analogue of The Bitsadze--Samarski Problem for a Mixed-Type Equation
M. Usanetashvili 
Article (pdf)    .................................................... 118 
 
Abstracts (Georgian)................................................. 124