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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2013, Issue 6(107), Pages 201–204 (Mi vsgu392)  
Miscellaneous

On some problems for a loaded parabolic-hyperbolic equation

A. V. Tarasenko

Samara State Technical University, Samara, 443001, Russian Federation
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Abstract: Some problems with various boundary conditions for the loaded mixed type equation in rectangular area are studied. The criterion of uniqueness is established and theorems of an existence of the solutions to the problems are proved. The solutions are constructed as Fourier series with respect to eigenfunctions of a corresponding one-dimensional problem.
Keywords: loaded equation of mixed type, spectral Method, uniqueness, existence.
Received: 24.07.2013
Revised: 24.07.2013
Document Type: Miscellaneous
UDC: 517.956
Language: Russian
Citation: A. V. Tarasenko, “On some problems for a loaded parabolic-hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2013, no. 6(107), 201–204
Citation in format AMSBIB
\Bibitem{Tar13}
\by A.~V.~Tarasenko
\paper On some problems for a loaded parabolic-hyperbolic equation
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2013
\issue 6(107)
\pages 201--204
\mathnet{http://mi.mathnet.ru/vsgu392}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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