Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 5, Pages 3–21 (Mi ivm9109)  
This article is cited in 12 scientific papers (total in 12 papers)

Criteria of unique solvability of nonlocal boundary-value problem for systems of hyperbolic equations with mixed derivatives

A. T. Asanova

Institute of mathematics and mathematical modeling of the Ministry of education and science of Republic of Kazakhstan, 125 Pushkin str., Almaty, 050010 Republic of Kazakhstan
Full-text PDF (278 kB) Citations (12)
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Abstract: We consider nonlocal boundary-value problem for a system of hyperbolic equations with two independent variables. We investigate questions of existence of unique classical solution to problem under consideration. In terms of initial data we propose criteria of unique solvability and suggest algorithms of finding os solutions to nonlocal boundary-value problem. As an application we give conditions of solvability of periodic boundary-value problem for a system of hyperbolic equations.
Keywords: hyperbolic equation, nonlocal boundary-value problem, periodic problem, solvability, algorithm.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 1017/ГФ2
0822/ГФ4
Received: 09.10.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 5, Pages 1–17
DOI: https://doi.org/10.3103/S1066369X16050017
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: A. T. Asanova, “Criteria of unique solvability of nonlocal boundary-value problem for systems of hyperbolic equations with mixed derivatives”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 5, 3–21; Russian Math. (Iz. VUZ), 60:5 (2016), 1–17
Citation in format AMSBIB
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    • This publication is cited in the following 12 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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