Kh. Kh. Kalazhokov, A. Kh. Kalazhokov, F. Kh. Uvizheva, “About some classes of solutions of the equations in parial derivatives of the second order”, News of the Kabardin-Balkar scientific center of RAS, 2015, Issue 3,Pages <nobr>18

MATHEMATICS. MATHEMATIC MODELING

About some classes of solutions of the equations in parial derivatives of the second order

Kh. Kh. Kalazhokov^a, A. Kh. Kalazhokov^b, F. Kh. Uvizheva^a

^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: Functional invariant and functional dependent solutions of the equations in partial derivatives are considered. Special cases which are reduced to Abel's ordinary differential equation are analyzed.

Keywords: equations in partial derivatives of the second order, functional invariant solution, functional dependent solution, system of quasilinear equations, Abel's equations of the second order.

UDC: 517.9

Received: 11.07.2014