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

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 th...

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Bibliographic Details
Published inNanosystems : Physics, Chemistry, Mathematics Vol. 13; no. 2; pp. 135 - 141
Main Author Yuldashev, T.K.
Format Journal Article
LanguageEnglish
Published St. Petersburg St. Petersburg National Research University of Information Technologies, Mechanics and Optics 01.04.2022
Subjects
Boundary value problems
Mathematical analysis
Nonlinear differential equations
Ordinary differential equations
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Summary: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.
ISSN:2220-8054
2305-7971
DOI:10.17586/2220-8054-2022-13-2-135-141