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MATHEMATICS

About a method of research of the non-local problem for the loaded mixed type equation in double-connected domain

O. Kh. Abdullayev

National University of Uzbekistan by Mirzo Ulugbeka, 100174, Uzbekistan, Tashkent c., VUZ gorodok st.

Abstract: In the present paper an existence and uniqueness of solution of the non-local boundary value problem for the loaded elliptic-hyperbolic type equation on the third order in double-connected domain was investigated. The uniqueness of solution was proved by the extremum principle for the mixed type equations, and existence was proved by the method of integral equations.

Keywords: loaded equation, elliptic-hyperbolic type, double-connected domain, an extremum principle, existence of solution, uniqueness of solution, method of integral equations.

MSC: 35M10

Received: 10.12.2014

Language: English

 English version: Bulletin KRASEC. Physical and Mathematical Sciences, 2014, 9:2, 3–12