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News of the Kabardin-Balkar scientific center of RAS, 2018, Issue 5, Pages 50–55
(Mi izkab62)
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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 28.09.2018
Citation:
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, no. 5, 50–55
Linking options:
https://www.mathnet.ru/eng/izkab62 https://www.mathnet.ru/eng/izkab/y2018/i5/p50
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