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, 2021, Volume 194, Pages 167–171
DOI: https://doi.org/10.36535/0233-6723-2021-194-167-171 (Mi into826) 		 
Cyclic solutions of the Pontryagin equation with a small parameter

Z. I. Sharifzodaa, È. M. Muhamadievb, I. D. Nurova

a Tajik National University, Dushanbe
b Vologda State University
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DOI: https://doi.org/10.36535/0233-6723-2021-194-167-171
Abstract: In this paper, we examine the existence of periodic solutions to systems of nonlinear equations with a small parameter. We find conditions for the existence of periodic solutions, which expand the range of applicability of Pontryagin's method of small parameter.
Keywords: differential equation, periodic solution, topological methods, rotation of a vector field.
Document Type: Article
UDC: 517.91
MSC: 34A34
Language: Russian
Citation: Z. I. Sharifzoda, È. M. Muhamadiev, I. D. Nurov, “Cyclic solutions of the Pontryagin equation with a small parameter”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 194, VINITI, Moscow, 2021, 167–171
Citation in format AMSBIB
\Bibitem{ShaMuhNur21}
\by Z.~I.~Sharifzoda, \`E.~M.~Muhamadiev, I.~D.~Nurov
\paper Cyclic solutions of the Pontryagin equation with a small parameter
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 5
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 194
\pages 167--171
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into826}
\crossref{https://doi.org/10.36535/0233-6723-2021-194-167-171}
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