Ikrombek O. Khajiev, “Conditional correctness and approximate solution of boundary value problem for the system of second order mixed-type equations”, J. Sib. Fed. Univ. Math. Phys., 2018, Volume 11, Issue 2,Pages <nobr>231

This article is cited in 2 papers

Conditional correctness and approximate solution of boundary value problem for the system of second order mixed-type equations

Ikrombek O. Khajiev

Department of Applied Mathematics and Computer Analysis, National University of Uzbekistan, Universitetskaya, 4, Tashkent, 100174, Uzbekistan

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.

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.

UDC: 517.946

Received: 10.02.2017
Received in revised form: 10.06.2017
Accepted: 20.12.2017

Language: English

DOI: 10.17516/1997-1397-2018-11-2-231-241