F.T. Bogatyreva, “A boundary value problem with the Samarsky integral condition for a first-order partial differential equation”, News of the Kabardin-Balkar scientific center of RAS, 2017, Issue 6-1,Pages <nobr>10

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MATH MODELING. PHYSICS

A boundary value problem with the Samarsky integral condition for a first-order partial differential equation

F.T. Bogatyreva

Institute of Applied Mathematics and Automation – branch of the FSBSE "Federal Scientific Center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", 360000, KBR, Nalchik, Shortanov street, 89 A

Abstract: In this paper a representation of the solution of boundary value problem with integral condition for the first order partial differential equation with the Dzhrbashyan - Nersesyan operator is obtained. The existence and uniqueness theorem is proved.

Keywords: Partial differential equation, Dzhrbashyan and Nersesyan derivative, fractional integro-differentiation, integral condition.

UDC: 517.91

Received: 01.12.2017