M. S. Salakhitdinov, M. Mirsaburov, “A Problem with a Nonlocal Boundary Condition on the Characteristic for a Class of Equations of Mixed Type”, Mat. Zametki, 2009, Volume 86, Issue 5,Pages <nobr>748

This article is cited in 15 papers

A Problem with a Nonlocal Boundary Condition on the Characteristic for a Class of Equations of Mixed Type

M. S. Salakhitdinov^a, M. Mirsaburov^b

^a Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
^b Termez State University

Abstract: We study the boundary-value problem with a nonlocal boundary condition on the characteristic for a class of equations of mixed type. The unique solvability of the problem is proved.

Keywords: differential equation of mixed type, TF problem, Cauchy problem, Hölder function, Carleman method, Wiener–Hopf equation, holomorphic function, residue theorem.

UDC: 517.956.6

Received: 17.08.2005
Revised: 20.02.2009

DOI: 10.4213/mzm4139