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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 2(23), Pages 34–39
DOI: https://doi.org/10.14498/vsgtu957 (Mi vsgtu957) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Differential Equations

On solvability of a inverse problem for hyperbolic equation with an integral overdetermination condition

N. V. Beylina

Dept. of Higher Mathematics and Applied Informatics, Samara State Technical University, Samara
Full-text PDF (178 kB) Citations (4)
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DOI: https://doi.org/10.14498/vsgtu957
Abstract: In this paper we study an inverse problem with an integral overdetermination condition for a hyperbolic equation with an unknown coefficient in equation. The existence and uniqueness of a solution is proved with the help of an a-priory estimate and Galyorkin procedure.
Keywords: inverse problem, integral condition, solvability.
Original article submitted 25/IV/2011
revision submitted – 05/V/2011
Bibliographic databases:
Document Type: Article
UDC: 517.956.37
MSC: Primary 35R30; Secondary 35L10
Language: Russian
Citation: N. V. Beylina, “On solvability of a inverse problem for hyperbolic equation with an integral overdetermination condition”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 34–39
Citation in format AMSBIB
\Bibitem{Bey11}
\by N.~V.~Beylina
\paper On solvability of a inverse problem for hyperbolic equation with an integral overdetermination condition
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 2(23)
\pages 34--39
\mathnet{http://mi.mathnet.ru/vsgtu957}
\crossref{https://doi.org/10.14498/vsgtu957}
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  • https://www.mathnet.ru/eng/vsgtu/v123/p34
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :309
    References:94
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