najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2022-13-2-135-141najo-224Research ArticleСтатьиPeriodic solutions for an impulsive system of nonlinear differential equations with maximaYuldashevT. K.tursun.k.yuldashev@gmail.comNational University of UzbekistanRussian Federation202206062025132135141Copyright © Yuldashev T.K., 20252025Yuldashev T.K.Yuldashev T.K.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/224

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.

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The authors declare that there are no conflicts of interest present.