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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 2(83), Pages 5–14
(Mi vsgu43)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
One-valued solvability of a nonlocal problem for the axisymmetric Helmholtz equation
A. A. Abashkin Dept. of Higher Mathematics, Samara State University of Architecture and Construction
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
A nonlocal boundary value problem for degenerate elliptic equation is considered. Boundary value of this problem considerably depend on low derivative coefficient changes. Existence and uniqueness of a solution are proved.
Keywords:
non-local problem, Bessel equation, Riesz basis, uniform convergence of series.
Received: 27.04.2010 Revised: 20.06.2011
Citation:
A. A. Abashkin, “One-valued solvability of a nonlocal problem for the axisymmetric Helmholtz equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 2(83), 5–14
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https://www.mathnet.ru/eng/vsgu43 https://www.mathnet.ru/eng/vsgu/y2011/i2/p5
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Abstract page: | 292 | Full-text PDF : | 114 | References: | 71 | First page: | 1 |
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