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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 6(80), Pages 27–38
(Mi vsgu191)
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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)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgu191 https://www.mathnet.ru/eng/vsgu/y2010/i6/p27
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