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Matematicheskie Zametki, 2010, Volume 88, Issue 2, Pages 163–172
DOI: https://doi.org/10.4213/mzm4065 (Mi mzm4065) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Solvability of a Boundary-Value Problem with an Integral Boundary Condition of the Second Kind for Equations of Odd Order

A. M. Abdrakhmanov

Ufa State Aviation Technical University
Full-text PDF (451 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm4065
Abstract: We study the solvability of a boundary-value problem for equations of odd order subject to a boundary condition relating the values of the conormal derivative with those of an integral operator applied to the solution. We prove the existence and uniqueness theorems for regular solutions.
Keywords: boundary-value problem, integral boundary condition of the second kind, differential operator, conormal derivative, Hölder's inequality, Young's inequality.
Received: 27.01.2009
Revised: 14.04.2009
English version:
Mathematical Notes, 2010, Volume 88, Issue 2, Pages 151–159
DOI: https://doi.org/10.1134/S000143461007014X
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. M. Abdrakhmanov, “Solvability of a Boundary-Value Problem with an Integral Boundary Condition of the Second Kind for Equations of Odd Order”, Mat. Zametki, 88:2 (2010), 163–172; Math. Notes, 88:2 (2010), 151–159
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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