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This article is cited in 3 scientific papers (total in 3 papers)
Neumann Problem with the Integro-Differential Operator in the Boundary Condition
I. M. Danyliuka, A. O. Danilyukb a Yuriy Fedkovych Chernivtsi National University
b Bukovina State University of Finance and Economic
Abstract:
The Neumann problem for a second-order parabolic equation with integro-differential operator in the boundary condition is considered. A well-posedness theorem is proved, in particular, the integral representation of the solution is obtained, estimates for the derivatives of the solution are established, and the kernel of the inverse operator of the problem is explicitly expressed.
Keywords:
Neumann problem, second-order parabolic equation, integro-differential operator, Hölder space, Volterra–Fredholm integral equation of the second kind.
Received: 15.11.2015 Revised: 23.02.2016
Citation:
I. M. Danyliuk, A. O. Danilyuk, “Neumann Problem with the Integro-Differential Operator in the Boundary Condition”, Mat. Zametki, 100:5 (2016), 701–709; Math. Notes, 100:5 (2016), 687–694
Linking options:
https://www.mathnet.ru/eng/mzm11013https://doi.org/10.4213/mzm11013 https://www.mathnet.ru/eng/mzm/v100/i5/p701
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Abstract page: | 410 | Full-text PDF : | 66 | References: | 81 | First page: | 37 |
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