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This article is cited in 5 scientific papers (total in 5 papers)
Short Communication
Differential Equations
Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients
I. G. Mamedov Institute of Cybernetics named after Academician A. Huseynov, National Academy of Sciences of Aserbaijan
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
For a differential equation of hyperbolic type with discontinuous coefficients a 3D Goursat problem with nonclassical boundary conditions is considered, which requires no matching conditions. Equivalence of these conditions boundary condition is substantiated classical, in the case if the solution of the problem in the anisotropic S. L. Sobolev's space is found.
Keywords:
hyperbolic equation, 3D Goursat problem, equation with discontinuous coefficients.
Original article submitted 18/V/2009 revision submitted – 10/II/2010
Citation:
I. G. Mamedov, “Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 209–213
Linking options:
https://www.mathnet.ru/eng/vsgtu691 https://www.mathnet.ru/eng/vsgtu/v120/p209
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