R. T. Zunnunov, M. A. Mamasolieva, “A nonlocal boundary value problem for a mixed-type equation in an unbounded domain, which is part of an elliptic rectangle”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2014, Number 1(8),Pages <nobr>49

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MATHEMATICS

A nonlocal boundary value problem for a mixed-type equation in an unbounded domain, which is part of an elliptic rectangle

R. T. Zunnunov^a, M. A. Mamasolieva^b

^a National University of Uzbekistan by Mirzo Ulugbeka, 100174, Uzbekistan, Tashkent c., VUZ gorodok st.
^b Kokand State Pedagogical Institute by Mukini, 113000, Uzbekistan, Kokand, Amira Temura st. 37

Abstract: In an article for mixed-type equation in an unbounded domain elliptic part is a rectangle, the unique solvability of a nonlocal boundary value problem. The uniqueness of the solution is proved by energy integrals, and the existence of the method of integral equations.

Keywords: mixed-type equation, the nonlocal boundary value problem, a method of energy integrals, the method of integral equations.

UDC: 517.956

MSC: 35M10

Received: 20.03.2014

DOI: 10.18454/2079-6641-2014-8-1-49-59