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Ufa Mathematical Journal, 2016, Volume 8, Issue 3, Pages 130–135
DOI: https://doi.org/10.13108/2016-8-3-130
(Mi ufa331)
 

This article is cited in 1 scientific paper (total in 1 paper)

On solvability by quadratures conditions for second order hyperbolic systems

E. A. Sozontova

Elabuga Branch of Kazan (Volga Region) Federal University
References:
Abstract: In the present work we consider boundary value problems for second order hyperbolic system with higher partial derivatives $u_{xy}$, $v_{xy}$ and $u_{xx}$, $v_{yy}$. The aim of the study is to find sufficient conditions for solvability of the considered problems by quadratures. We proposed a method for finding explicit solutions for the mentioned problems based on factorization of the equations in the original systems. As a result, in terms of the coefficients of these systems, we obtain 14 conditions for solvability by quadratures for each boundary value problem.
Keywords: hyperbolic system, Goursat problem, boundary value problem, solvability by quadratures, factorization of equation.
Received: 07.08.2015
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
MSC: 35L51, 35L53, 35G45
Language: English
Original paper language: Russian
Citation: E. A. Sozontova, “On solvability by quadratures conditions for second order hyperbolic systems”, Ufa Math. J., 8:3 (2016), 130–135
Citation in format AMSBIB
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\by E.~A.~Sozontova
\paper On solvability by quadratures conditions for second order hyperbolic systems
\jour Ufa Math. J.
\yr 2016
\vol 8
\issue 3
\pages 130--135
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  • https://doi.org/10.13108/2016-8-3-130
  • https://www.mathnet.ru/eng/ufa/v8/i3/p135
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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