A. M. Shkhagapsoev, “A priori estimates of solutions of nonlocal boundary value problems with the Samarsky condition for the generalized third-order equation with multiple characteristics”, News of the Kabardin-Balkar scientific center of RAS, 2018, Issue 5,Pages <nobr>50

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COMPUTER SCIENCE. CALCULATION EQUIPMENT. MANAGEMENT

A priori estimates of solutions of nonlocal boundary value problems with the Samarsky condition for the generalized third-order equation with multiple characteristics

A. M. Shkhagapsoev

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: Nonlocal boundary value problems for the third-order equation with a fractional Caputo derivative in time are considered. A priori estimates of the solution of the analogue of the first and second boundary value problems with the integral Samarsky condition for the equation with multiple characteristics are obtained by the method of energy inequalities.

Keywords: a Priori estimate of the boundary-value problems, equations with multiple characteristics, method of energy integral, fractional derivative according to Caputo, the Samarsky conditions.

UDC: 517.954

Received: 28.09.2018