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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 217, Pages 3–10
DOI: https://doi.org/10.36535/0233-6723-2022-217-3-10 (Mi into1091) 		 
On branching of periodic solutions of quasilinear systems of ordinary differential equations

V. V. Abramov, E. Yu. Liskina

Ryazan State University S. A. Esenin
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DOI: https://doi.org/10.36535/0233-6723-2022-217-3-10
Abstract: In this paper, a normal system of ordinary differential equations with a small parameter is examined. We obtain conditions for the existence and stability of a periodic solution, which, at the zero value of the parameter, satisfies a linear homogeneous system. The reasoning is based on the analysis of properties of the monodromy operator.
Keywords: differential equation, periodic solution, small parameter, monodromy operator.
Document Type: Article
UDC: 517.925.52
MSC: 34C25
Language: Russian
Citation: V. V. Abramov, E. Yu. Liskina, “On branching of periodic solutions of quasilinear systems of ordinary differential equations”, Algebra, geometry, differential equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 217, VINITI, Moscow, 2022, 3–10
Citation in format AMSBIB
\Bibitem{AbrLis22}
\by V.~V.~Abramov, E.~Yu.~Liskina
\paper On branching of periodic solutions of quasilinear systems of ordinary differential equations
\inbook Algebra, geometry, differential equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 217
\pages 3--10
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1091}
\crossref{https://doi.org/10.36535/0233-6723-2022-217-3-10}
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