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Nanosystems: Physics, Chemistry, Mathematics, 2022, Volume 13, Issue 2, Pages 135–141
DOI: https://doi.org/10.17586/2220-8054-2022-13-2-135-141 (Mi nano1094) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Periodic solutions for an impulsive system of nonlinear differential equations with maxima

T. K. Yuldashev

National University of Uzbekistan, University street, 4, NUUz, Tashkent, 100174, Uzbekistan
Full-text PDF (209 kB) Citations (1)
DOI: https://doi.org/10.17586/2220-8054-2022-13-2-135-141
URL: https://nanojournal.ifmo.ru/en/articles-2/volume13/13-2/mathematics/paper01
Abstract: In this paper, a periodical boundary value problem for a first order system of ordinary differential equations with impulsive effects and maxima is investigated. We define a nonlinear functional-integral system, the set of periodic solutions of which consides with the set of periodic solutions of the given problem. In the proof of the existence and uniqueness of the periodic solution of the obtained system, the method of compressing mapping is used.
Keywords: impulsive differential equations, periodical boundary value condition, successive approximations, existence and uniqueness of periodic solution.
Received: 08.03.2022
Revised: 26.03.2022
Accepted: 02.04.2022
Bibliographic databases:
Document Type: Article
Language: English
Citation: T. K. Yuldashev, “Periodic solutions for an impulsive system of nonlinear differential equations with maxima”, Nanosystems: Physics, Chemistry, Mathematics, 13:2 (2022), 135–141
Citation in format AMSBIB
\Bibitem{Yul22}
\by T.~K.~Yuldashev
\paper Periodic solutions for an impulsive system of nonlinear differential equations with maxima
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2022
\vol 13
\issue 2
\pages 135--141
\mathnet{http://mi.mathnet.ru/nano1094}
\crossref{https://doi.org/10.17586/2220-8054-2022-13-2-135-141}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4429101}
\elib{https://elibrary.ru/item.asp?id=48516033}
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    • This publication is cited in the following 1 articles:
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