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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 8(89), Pages 108–117 (Mi vsgu129)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Nonlocal problems for the equation of the mixed parabolic-hyperbolic type

G. R. Yunusova

Dept. of Higher Mathematics, Samara State University of Architecture and Civil Engineering, Samara, 443001, Russian Federation
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Abstract: Boundary value problems with non-local conditions for partial differential equation are considered. In these problems, non-local conditions connect the values of a required solutions on the opposite sides of a rectangular domain. Criteria of uniqueness of each of the problems are obtained. Solutions to both problems are constructed as sums of Fourier series. The stability of solutions is proved.
Keywords: equation of the mixed type, non-local problems, uniqueness, stability.
Received: 05.09.2011
Revised: 05.09.2011
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. R. Yunusova, “Nonlocal problems for the equation of the mixed parabolic-hyperbolic type”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 8(89), 108–117
Citation in format AMSBIB
\Bibitem{Yun11}
\by G.~R.~Yunusova
\paper Nonlocal problems for the equation of the mixed parabolic-hyperbolic type
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2011
\issue 8(89)
\pages 108--117
\mathnet{http://mi.mathnet.ru/vsgu129}
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  • https://www.mathnet.ru/eng/vsgu/y2011/i8/p108
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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