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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 2, Pages 71–85 (Mi ivm7235)  
This article is cited in 28 scientific papers (total in 28 papers)

A nonlocal inverse problem for a mixed-type equation

K. B. Sabitov, N. V. Martem'yanova

Chair of Mathematical Analysis, Volga Region Social-Humanitarian Academy, Samara, Russia
Full-text PDF (221 kB) Citations (28)
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Abstract: We establish a criterion for the unique solvability of the inverse problem for the Lavrent'ev–Bitsadze equation with unknown right-hand member. We construct a solution as the sum of a biorthogonal series over systems of root functions of the corresponding adjoint problems on eigenvalues.
Keywords: mixed-type equation, inverse problem, spectral method, uniqueness, existence.
Received: 30.06.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 2, Pages 61–74
DOI: https://doi.org/10.3103/S1066369X11020083
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: K. B. Sabitov, N. V. Martem'yanova, “A nonlocal inverse problem for a mixed-type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2, 71–85; Russian Math. (Iz. VUZ), 55:2 (2011), 61–74
Citation in format AMSBIB
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\by K.~B.~Sabitov, N.~V.~Martem'yanova
\paper A nonlocal inverse problem for a~mixed-type equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 2
\pages 71--85
\mathnet{http://mi.mathnet.ru/ivm7235}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2814823}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 2
\pages 61--74
\crossref{https://doi.org/10.3103/S1066369X11020083}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953009271}
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:75
    First page:24
     
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