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News of the Kabardin-Balkar scientific center of RAS, 2010, Issue 4, Pages 64–69
(Mi izkab658)
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This article is cited in 1 scientific paper (total 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.
Received: 04.06.2010
Citation:
Zh. A. Balkizov, A. H. Kodzokov, “On the representation of solutions
of boundary value problems for nonhomogeneous
third order equation with multiple characteristics”, News of the Kabardin-Balkar scientific center of RAS, 2010, no. 4, 64–69
Linking options:
https://www.mathnet.ru/eng/izkab658 https://www.mathnet.ru/eng/izkab/y2010/i4/p64
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Abstract page: | 18 | Full-text PDF : | 5 | References: | 3 |
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