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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 8(89), Pages 102–107
(Mi vsgu128)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
A problem with displacements in the boundary conditions
E. A. Utkina Dept. of Common Mathematcs, Kazan Federal University, Kazan, 420008, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
A problem with conditions relating to the values of an unknown function on the opposite sides of a rectangular characteristiс domain D for a linear hyperbolic equations is considered. This problem is reduced to the system of Fredholm equations of the second kind. The proof of solvability is based on the a priori estimates of additional conditions on the coefficients of the equation.
Keywords:
problems with displacements, hyperbolic equation, Fredholm equations.
Received: 18.11.2011 Revised: 09.12.2011
Citation:
E. A. Utkina, “A problem with displacements in the boundary conditions”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 8(89), 102–107
Linking options:
https://www.mathnet.ru/eng/vsgu128 https://www.mathnet.ru/eng/vsgu/y2011/i8/p102
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