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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 6(80), Pages 27–38 (Mi vsgu191)  

Mathematics

Inverse problem for the equation of the mixed type with nonlocal boundary condition

N. V. Martemyanova

Dept. of Mathematical Analysis, Samara State Academy of Social Sciences and Humanities, Samara, 443090, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: The nonlocal boundary problem is studied in the rectangular region for the equation of the mixed type with the unknown right part. The criterion of the uniqueness of solution of this inverse problem is established. Solution is constructed as a sum of biorthogonal series on the systems of root functions of the corresponding mutually adjoint problems on their own values.
Keywords: inverse problem, equation of the mixed type, spectral method, uniqueness, existence.
Received: 15.05.2010
Revised: 15.05.2010
Document Type: Article
UDC: 517.95
Language: Russian
Citation: N. V. Martemyanova, “Inverse problem for the equation of the mixed type with nonlocal boundary condition”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 6(80), 27–38
Citation in format AMSBIB
\Bibitem{Mar10}
\by N.~V.~Martemyanova
\paper Inverse problem for the equation of the mixed type with nonlocal boundary condition
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2010
\issue 6(80)
\pages 27--38
\mathnet{http://mi.mathnet.ru/vsgu191}
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