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Matematicheskie Zametki, 2016, Volume 100, Issue 5, Pages 701–709
DOI: https://doi.org/10.4213/mzm11013 (Mi mzm11013) 		 
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
Full-text PDF (425 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm11013
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
English version:
Mathematical Notes, 2016, Volume 100, Issue 5, Pages 687–694
DOI: https://doi.org/10.1134/S0001434616110055
Bibliographic databases:
Document Type: Article
UDC: 517.954
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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