MATHEMATICS. MATHEMATIC MODELING

About creation of some classes of equations of mathematical physics the solution of which possesses the set properties

Kh. Kh. Kalazhokov^a, A. Kh. Kalazhokov<sup>b

a</sup> 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.

UDC: 517.946

Received: 11.07.2014

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