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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2011 Issue 6, Pages 34–40 (Mi izkab647)

MATHEMATICS. MATHEMATIC MODELING

About one boundary problem for the equation of hyperbolic-parabolic type of the second order in rectangular area

V. A. Eleev, Z. H. Guchaeva

Kabardin-Balkar State University named after H.M. Berbekov, 360004, Nalchik, 173, Chernyshevsky street

Abstract: The problem with boundary conditions of the third kind for general equation of hyperbolic-parabolic type of the second order in rectangular area is investigated in this article. The uniqueness of solution of this problem is proved by method of auxiliary functions.

Keywords: equation of Lavrentiev – Bicadze, uniqueness of solution, auxiliary function, fullness of the system, existence of the solution, Furie’s method.

UDC: 517.956

Received: 30.05.2011



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