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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 5, Pages 44–52 (Mi ivm7302)  
This article is cited in 13 scientific papers (total in 13 papers)

The boundary-value problem for the Lavrent'ev–Bitsadze equation with unknown right-hand side

K. B. Sabitova, I. A. Khadzhib

a Laboratory of Differential Equations, Institute of Applied Research of Academy of Sciences of Republic Bashkortostan, Sterlitamak, Russia
b Chair of Mathematical Analysis, Sterlitamak State Pedagogical Academy, Sterlitamak, Russia
Full-text PDF (190 kB) Citations (13)
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Abstract: We study the inverse problem for the Lavrent'ev–Bitsadze equation in a rectangular domain. We construct its solution as a series in eigenfunctions for the corresponding problem on eigenvalues and establish a criterion for its uniqueness. We also prove the stability of the obtained solution.
Keywords: mixed-type equation, inverse problem, spectral method, uniqueness, existence, stability.
Received: 03.11.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 5, Pages 35–42
DOI: https://doi.org/10.3103/S1066369X11050069
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: K. B. Sabitov, I. A. Khadzhi, “The boundary-value problem for the Lavrent'ev–Bitsadze equation with unknown right-hand side”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5, 44–52; Russian Math. (Iz. VUZ), 55:5 (2011), 35–42
Citation in format AMSBIB
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\by K.~B.~Sabitov, I.~A.~Khadzhi
\paper The boundary-value problem for the Lavrent'ev--Bitsadze equation with unknown right-hand side
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 5
\pages 44--52
\mathnet{http://mi.mathnet.ru/ivm7302}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2920088}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 5
\pages 35--42
\crossref{https://doi.org/10.3103/S1066369X11050069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051604675}
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    • This publication is cited in the following 13 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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