This article is cited in 1 paper

MATHEMATICS. MATHEMATIC MODELING

On the representation of solutions of boundary value problems for nonhomogeneous third order equation with multiple characteristics

Zh. A. Balkizov, A. H. Kodzokov

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

Abstract: The unique solubility of the boundary problem for equation of the third order with the multiple characteristics in square area is proved in this article. Uniqueness of the solution of the problem is proved by integral energy method. The solution is received in the form of Fourier series on eigenfunctions of the problem.

Keywords: the equation of the third order with multiple characteristics, heterogeneous equation, uniqueness of the solution, integral energy method, performance equation, Green’s function, Fourier series.

UDC: 517.946

Received: 04.06.2010

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