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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 4, Pages 74–83 (Mi ivm8596)  
This article is cited in 48 scientific papers (total in 48 papers)

Boundary value problems for a hyperbolic equation with nonlocal conditions of the I and II kind

L. S. Pul'kina

Chair of Mathematical Physics Equations, Samara, Russia
Full-text PDF (177 kB) Citations (48)
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Abstract: In this paper we consider two initial-boundary value problems with nonlocal conditions. The main goal is to propose a method for proving the solvability of nonlocal problems with integral conditions of the first kind. The proposed method is based on the equivalence of a nonlocal problem with an integral condition of the first kind and a nonlocal problem with an integral condition of the second kind in a special form. We prove the unique existence of generalized solutions to both problems.
Keywords: hyperbolic equation, nonlocal problem, integral conditions, generalized solution.
Received: 08.04.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 4, Pages 62–69
DOI: https://doi.org/10.3103/S1066369X12040081
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: L. S. Pul'kina, “Boundary value problems for a hyperbolic equation with nonlocal conditions of the I and II kind”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 4, 74–83; Russian Math. (Iz. VUZ), 56:4 (2012), 62–69
Citation in format AMSBIB
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\by L.~S.~Pul'kina
\paper Boundary value problems for a~hyperbolic equation with nonlocal conditions of the~I and II~kind
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 4
\pages 74--83
\mathnet{http://mi.mathnet.ru/ivm8596}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3076543}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 4
\pages 62--69
\crossref{https://doi.org/10.3103/S1066369X12040081}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862740042}
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    • This publication is cited in the following 48 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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