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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 11, Pages 12–19 (Mi ivm4251)  
This article is cited in 1 scientific paper (total in 1 paper)

The Neumann problem for a mixed-type equation in a rectangular domain

A. A. Bakhristova

Laboratory of Differential Equations, Sterlitamak Branch of Academy of Sciences of the Republic of Bashkortostan, Sterlitamak, Russia
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Abstract: We establish a uniqueness criterion for the Neumann problem for a mixed-type equation with the Lavrent'ev–Bitsadze operator in a rectangular domain. We construct a solution as the sum of a series of eigenfunctions of the corresponding Sturm–Liouville problem.
Keywords: mixed-type equation, Neumann problem, spectral method, uniqueness, existence.
Received: 13.07.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 11, Pages 9–15
DOI: https://doi.org/10.3103/S1066369X09110024
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: A. A. Bakhristova, “The Neumann problem for a mixed-type equation in a rectangular domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 11, 12–19; Russian Math. (Iz. VUZ), 53:11 (2009), 9–15
Citation in format AMSBIB
\Bibitem{Bak09}
\by A.~A.~Bakhristova
\paper The Neumann problem for a~mixed-type equation in a~rectangular domain
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 11
\pages 12--19
\mathnet{http://mi.mathnet.ru/ivm4251}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2657236}
\zmath{https://zbmath.org/?q=an:1180.35373}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 11
\pages 9--15
\crossref{https://doi.org/10.3103/S1066369X09110024}
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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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