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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 5, Pages 86–96 (Mi ivm9241)  

Periodic solutions to nonlinear nonautonomous system of differential equations

M. T. Teryokhin, O. V. Baeva

Ryazan State University S. A. Esenin, 46 Svobody str., Ryazan, 390000 Russia
References:
Abstract: We prove a theorem on the existence of nonzero periodic solution to a system of differential eguations by the method of fixed point of nonlinear operator defined on a topological product of two compact sets.
Keywords: nonlinear ordinary differential equations dependent from small parameters, nonzero periodical solutions, principle of contracted mappings and Bohl–Brower theorem about fixed point.
Received: 11.12.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 5, Pages 73–82
DOI: https://doi.org/10.3103/S1066369X17050103
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: M. T. Teryokhin, O. V. Baeva, “Periodic solutions to nonlinear nonautonomous system of differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5, 86–96; Russian Math. (Iz. VUZ), 61:5 (2017), 73–82
Citation in format AMSBIB
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\issue 5
\pages 86--96
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\vol 61
\issue 5
\pages 73--82
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    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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