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Tambov University Reports. Series: Natural and Technical Sciences, 2018, Volume 23, Issue 123, Pages 510–516
DOI: https://doi.org/10.20310/1810-0198-2018-23-123-510-516 (Mi vtamu52) 		 
Scientific articles

Research of the nonautonomous system of ODE by the ideas of the method of guiding functions

A. I. Perova, V. K. Kaverinab

a Voronezh State University
b Voronezh State Technical University
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DOI: https://doi.org/10.20310/1810-0198-2018-23-123-510-516
Abstract: We indicate sufficient conditions connected with the method of guiding functions, under which periodically perturbed autonomous system of ODE has an periodic solution.
Keywords: periodically perturbed autonomous system of ODE, topological degree of transformation, Steclov average, coercitivity of transformation.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00197
The work is partially supported by the Russian Fund for Basic Research (project № 16-01-00197).
Received: 16.04.2018
Bibliographic databases:
Document Type: Article
UDC: 517.925.52
Language: Russian
Citation: A. I. Perov, V. K. Kaverina, “Research of the nonautonomous system of ODE by the ideas of the method of guiding functions”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 510–516
Citation in format AMSBIB
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\by A.~I.~Perov, V.~K.~Kaverina
\paper Research of the nonautonomous system of ODE by the ideas of the method of guiding functions
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2018
\vol 23
\issue 123
\pages 510--516
\mathnet{http://mi.mathnet.ru/vtamu52}
\crossref{https://doi.org/10.20310/1810-0198-2018-23-123-510-516}
\elib{https://elibrary.ru/item.asp?id=36452700}
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