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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 9, Pages 17–26
(Mi ivm8926)
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This article is cited in 4 scientific papers (total in 4 papers)
A problem with nonlocal initial data for one-dimensional hyperbolic equation
S. V. Kirichenkoa, L. S. Pul'kinab a Chair of Higher Mathematics, Samara State University of Railway Transport, 18 1st Bezymyannyi Lane, Samara, 443066 Russia
b Chair of Equations of Mathematical Physics, Samara State University, 1 Akad. Pavlov str., Samara, 443011 Russia
Abstract:
In this article we consider a boundary-value problem for hyperbolic equation with nonlocal initial data in integral form. We prove the existence and uniqueness of generalized solution.
Keywords:
hyperbolic equation, nonlocal problem, integral conditions, generalized solution.
Received: 18.03.2013
Citation:
S. V. Kirichenko, L. S. Pul'kina, “A problem with nonlocal initial data for one-dimensional hyperbolic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 9, 17–26; Russian Math. (Iz. VUZ), 58:9 (2014), 13–21
Linking options:
https://www.mathnet.ru/eng/ivm8926 https://www.mathnet.ru/eng/ivm/y2014/i9/p17
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