Journal of Siberian Federal University. Mathematics & Physics / Conditional Correctness and Approximate Solution of Boundary Value Problem for the System of Second Order Mixed-type Equations

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (2)
Authors
Khajiev, Ikrombek O.
Contact information
Khajiev, Ikrombek O.: Department of Applied Mathematics and Computer Analysis National University of Uzbekistan Universitetskaya, 4, Tashkent, 100174 Uzbekistan;
Keywords
system of equations; boundary value problem; ill-posed problem; a priori estimate; theorem of the uniqueness; conditional stability; set of correctness; approximate solution; regularization
Abstract

In this paper, we consider the system of second-order mixed type equations. Theorems of uniqueness and conditional stability in the set of correctness are proven. The approximate solution is constructed by the method of regularization and by the quasi-inverse method.

Pages
231–241
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/71095