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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 6, Pages 100–106 (Mi ivm7509)  
This article is cited in 1 scientific paper (total in 1 paper)

Solution of boundary-value problems with generalized transmission conditions of the type of a crack or a screen

S. E. Kholodovskiia, N. N. Shadrinab

a Chair of Fundamental and Applied Mathematics, Transbaikal State Humanitarian Pedagogical University, Chita, Russia
b Chair of Information Science, Computer Engineering and Applied Mathematics, Chita State University, Chita, Russia
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Abstract: We obtain formulas for solutions of boundary-value problems similar to classical ones in cylindrical domains under additional generalized transmission conditions of the type of a strongly permeable crack or a weakly permeable screen. The obtained solutions are operations that affect the known function only in one variable. By a composition of the mentioned operators we solve boundary-value problems with generalized transmission conditions on intersecting surfaces.
Keywords: boundary-value problems, cracks, screens, method of convolution of Fourier expansions.
Received: 01.02.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 6, Pages 85–90
DOI: https://doi.org/10.3103/S1066369X11060120
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: S. E. Kholodovskii, N. N. Shadrina, “Solution of boundary-value problems with generalized transmission conditions of the type of a crack or a screen”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 6, 100–106; Russian Math. (Iz. VUZ), 55:6 (2011), 85–90
Citation in format AMSBIB
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\by S.~E.~Kholodovskii, N.~N.~Shadrina
\paper Solution of boundary-value problems with generalized transmission conditions of the type of a~crack or a~screen
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 6
\pages 100--106
\mathnet{http://mi.mathnet.ru/ivm7509}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2931710}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 6
\pages 85--90
\crossref{https://doi.org/10.3103/S1066369X11060120}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051635664}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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