Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 210, Pages 35–48
DOI: https://doi.org/10.36535/0233-6723-2022-210-35-48 (Mi into1013) 		 
On the theory of periodic solutions of systems of hyperbolic equations in the plane

A. T. Assanova

Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan, Almaty
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DOI: https://doi.org/10.36535/0233-6723-2022-210-35-48
Abstract: A periodic problem on the plane for a system of second-order hyperbolic equations with mixed derivatives is considered. The existence of a unique classical solution of the problem is examined and methods of constructing it are discussed.
Keywords: system of hyperbolic equations, doubly periodic solution, solvability, algorithm, method of functional parameters.
Document Type: Article
UDC: 517.956.3
MSC: 35L51, 35L53, 34B10, 34C25, 34K13
Language: Russian
Citation: A. T. Assanova, “On the theory of periodic solutions of systems of hyperbolic equations in the plane”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 210, VINITI, Moscow, 2022, 35–48
Citation in format AMSBIB
\Bibitem{Ass22}
\by A.~T.~Assanova
\paper On the theory of periodic solutions of systems of hyperbolic equations in the plane
\inbook Geometry, Mechanics, and Differential Equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 210
\pages 35--48
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1013}
\crossref{https://doi.org/10.36535/0233-6723-2022-210-35-48}
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