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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2011, Issue 5(86), Pages 29–36
(Mi vsgu76)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
On certain nonlocal problem for hyperbolic equation with integral conditions of the first kind
A. V. Dyuzheva Dept. of Mathematics and Business Informatics, Samara State University, Samara, 443011, Russian Federation
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
In this article, we consider a nonlocal problem for hyperbolic equation with integral conditions of the first kind. The main goal of this article is to show the method which allows to reduce posed problem to the problem with integral condition of the second kind. Existence and uniqueness of generalized solution is proved.
Keywords:
non-local problem, hyperbolic equation, non-local conditions, generalized solution.
Received: 23.06.2011 Revised: 23.06.2011
Citation:
A. V. Dyuzheva, “On certain nonlocal problem for hyperbolic equation with integral conditions of the first kind”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2011, no. 5(86), 29–36
Linking options:
https://www.mathnet.ru/eng/vsgu76 https://www.mathnet.ru/eng/vsgu/y2011/i5/p29
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Abstract page: | 254 | Full-text PDF : | 105 | References: | 69 | First page: | 1 |
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