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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 9, Pages 26–41 (Mi ivm9149)  
This article is cited in 11 scientific papers (total in 11 papers)

On solvability of non-linear semi-periodic boundary-value problem for system of hyperbolic equations

N. T. Orumbaeva

Buketov Karaganda State University, 28 Universitetskaya str., Karaganda, 100028 Republic of Kazakhstan
Full-text PDF (259 kB) Citations (11)
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Abstract: We study a non-linear semi-periodic boundary-value problem for a system of hyperbolic equations with mixed derivative. At that, the semi-periodic boundary-value problem for a system of hyperbolic equations is reduced to an equivalent problem, consisting of a family of periodic boundary-value problems for ordinary differential equations and functional relation. When solving a family of periodic boundary-value problems of ordinary differential equations we use the method of parameterization. This approach allowed to establish sufficient conditions for the existence of an isolated solution of non-linear semi-periodic boundary-value problem for a system of hyperbolic equations.
Keywords: system of hyperbolic equations, semi-periodic boundary-value problem.
Received: 06.03.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 9, Pages 23–37
DOI: https://doi.org/10.3103/S1066369X16090036
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: N. T. Orumbaeva, “On solvability of non-linear semi-periodic boundary-value problem for system of hyperbolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 9, 26–41; Russian Math. (Iz. VUZ), 60:9 (2016), 23–37
Citation in format AMSBIB
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    • This publication is cited in the following 11 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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