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News of the Kabardin-Balkar scientific center of RAS, 2015, Issue 3, Pages 25–32
(Mi izkab280)
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MATHEMATICS. MATHEMATIC MODELING
About creation of some classes of equations
of mathematical physics
the solution of which possesses the set properties
Kh. Kh. Kalazhokova, A. Kh. Kalazhokovb a Institute of Computer Science and Problems of Regional Management of KBSC
of the Russian Academy of Sciences,
360000, KBR, Nalchik, 37-a, I. Armand street
b Kabardin-Balkar State University named after H.M. Berbekov,
360004, KBR, Nalchik, 173, Chernyshevsky street
Abstract:
The question of creation of some classes of mathematical physics equations solution of which possesses preditermined properties is investigated. By means of the VKB transformation (Ventsel – Kramers
– Brillouin) classes of mathematical physics equations of the second order are constructed: ordinary differential equations and equations in private derivatives of the hyperbolic, parabolic and elliptic types,
solved in "reference" functions.
Keywords:
the VKB transformation, "reference" equation, "reference" function, ordinary differential equations, equations in private derivatives of hyperbolic, parabolic and elliptic types.
Received: 11.07.2014
Citation:
Kh. Kh. Kalazhokov, A. Kh. Kalazhokov, “About creation of some classes of equations
of mathematical physics
the solution of which possesses the set properties”, News of the Kabardin-Balkar scientific center of RAS, 2015, no. 3, 25–32
Linking options:
https://www.mathnet.ru/eng/izkab280 https://www.mathnet.ru/eng/izkab/y2015/i3/p25
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