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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 6(107), Pages 40–53 (Mi vsgu375)  
Mathematics

Dirichlet problem for loaded degenerating equation of the mixed type in the rectangular area

E. P. Melisheva

Samara State Academy of Social Sciences and Humanities, Samara, 443090, Russian Federation
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Abstract: Necessary and sufficient conditions of the uniqueness of solution of the first boundary problem for the loaded degenerating equtation of Lavrentiev–Bitsadze in rectangular area are established in this work.The solution of the task is constructed in the form of the number sum on the eigen functions of a corresponding one-dimensional problem on the eigen values. The solution stability from boundary functions is showed.
Keywords: loaded degenerating equation of the mixed type, problem of Dirihle, spectral method, uniqueness, existence, stability.
Received: 01.05.2013
Revised: 01.05.2013
Document Type: Article
UDC: 517.95
Language: Russian
Citation: E. P. Melisheva, “Dirichlet problem for loaded degenerating equation of the mixed type in the rectangular area”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 6(107), 40–53
Citation in format AMSBIB
\Bibitem{Mel13}
\by E.~P.~Melisheva
\paper Dirichlet problem for loaded degenerating equation of the mixed type in the rectangular area
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2013
\issue 6(107)
\pages 40--53
\mathnet{http://mi.mathnet.ru/vsgu375}
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