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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 4, Pages 55–62 (Mi ivm6725)  
This article is cited in 44 scientific papers (total in 44 papers)

The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain

K. B. Sabitova, E. M. Safinb

a Laboratory of Differential Equations, Academy of Sciences of the Republic of Bashkortostan, Sterlitamak Branch, Sterlitamak, Russia
b Department of Differential Equations, Institute of Mathematics with Computing Center, Ufa Scientific Center, Russian Academy of Sciences, Ufa, Russia
Full-text PDF (167 kB) Citations (44)
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Abstract: In this paper with the help of the spectral method we obtain a criterion for the unique solvability of the inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain. This problem implies the search of the unknown right-hand side.
Keywords: spectral method, Fourier series, inverse problem, mixed-type parabolic-hyperbolic equation.
Received: 25.12.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 4, Pages 48–54
DOI: https://doi.org/10.3103/S1066369X10040067
Bibliographic databases:
UDC: 517.957
Language: Russian
Citation: K. B. Sabitov, E. M. Safin, “The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 4, 55–62; Russian Math. (Iz. VUZ), 54:4 (2010), 48–54
Citation in format AMSBIB
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\by K.~B.~Sabitov, E.~M.~Safin
\paper The inverse problem for a~mixed-type parabolic-hyperbolic equation in a~rectangular domain
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 4
\pages 55--62
\mathnet{http://mi.mathnet.ru/ivm6725}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2779412}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 4
\pages 48--54
\crossref{https://doi.org/10.3103/S1066369X10040067}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649598236}
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    • This publication is cited in the following 44 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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