This article is cited in 10 papers

A nonlocal problem for a mixed-type equation with a singular coefficient in an unbounded domain

M. Kh. Ruziev

Depatrment of Differential Equations, Institute of Mathematics and Information Technologies, Academy of Sciences of Republic of Uzbekistan, Tashkent, Uzbekistan

Abstract: In this paper we study a nonlocal problem for a mixed-type equation in a domain whose elliptic part is the first quadrant of the plane and the hyperbolic part is the characteristic triangle. With the help of the method of integral equations and the principle of extremum we prove the unique solvability of the considered problem.

Keywords: principle of extremum, unique solvability, existence of a solution, singular coefficient.

UDC: 517.956

Received: 20.03.2009
Revised: 26.06.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:11, 36–43

Bibliographic databases:

• 
•