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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 9, Pages 17–26 (Mi ivm8926)  

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
Full-text PDF (196 kB) Citations (4)
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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
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 9, Pages 13–21
DOI: https://doi.org/10.3103/S1066369X14090023
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
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
Citation in format AMSBIB
\Bibitem{KirPul14}
\by S.~V.~Kirichenko, L.~S.~Pul'kina
\paper A problem with nonlocal initial data for one-dimensional hyperbolic equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 9
\pages 17--26
\mathnet{http://mi.mathnet.ru/ivm8926}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 9
\pages 13--21
\crossref{https://doi.org/10.3103/S1066369X14090023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906213324}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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