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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 5, Pages 1147–1161 (Mi smj1412)  
This article is cited in 2 scientific papers (total in 2 papers)

Spectral properties of a solution to the Gellerstedt problem for mixed-type equations and their applications

K. B. Sabitovab, A. N. Kuchkarovab

a Sterlitamak State Pedagogical Institute
b Sterlitamak Branch of Academy of Sciences of Bashkortostan
Full-text PDF (234 kB) Citations (2)
Abstract: We find eigenvalues and the corresponding eigenfunctions of the Gellerstedt problem for mixed-type equations with the Lavrent'ev–Bitsadze operator. We study the spectral properties of the system of eigenfunctions and present their applications to construction of a solution to the Gellerstedt problem in the form of the sum of a series.
Received: 25.04.2000
Revised: 28.05.2001
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 5, Pages 961–974
DOI: https://doi.org/10.1023/A:1011975913203
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: K. B. Sabitov, A. N. Kuchkarova, “Spectral properties of a solution to the Gellerstedt problem for mixed-type equations and their applications”, Sibirsk. Mat. Zh., 42:5 (2001), 1147–1161; Siberian Math. J., 42:5 (2001), 961–974
Citation in format AMSBIB
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\paper Spectral properties of a~solution to the Gellerstedt problem for mixed-type equations and their applications
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 5
\pages 1147--1161
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1861641}
\zmath{https://zbmath.org/?q=an:0996.35047}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 5
\pages 961--974
\crossref{https://doi.org/10.1023/A:1011975913203}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172156900015}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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