Green's function for impulsive periodic solutions in alternately advanced and delayed differential systems and applications

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dc.contributor.authorCHİU, Kuo-shou
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-29T13:44:59Z
dc.date.available2021-11-29T13:44:59Z
dc.date.issued2021-06-30
dc.description.abstractIn this paper we investigate the existence of the periodic solutions of a nonlinear impulsive differential system with piecewise alternately advanced and retarded arguments, in short IDEPCAG, that is, the argument is a general step function. We consider the critical case, when associated linear homogeneous system admits nontrivial periodic solutions. Criteria of existence of periodic solutions of such system are obtained. In the process we use the Green's function for impulsive periodic solutions and convert the given the IDEPCAG into an equivalent integral equation system. Then we construct appropriate mappings and employ Krasnoselskii's fixed point theorem to show the existence of a periodic solution of this type of nonlinear impulsive differential systems. We also use the contraction mapping principle to show the existence of a unique impulsive periodic solution. Appropriate examples are given to show the feasibility of our results.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage37tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage15tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.785502tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76443
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.785502tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectImpulsive differential equationtr_TR
dc.subjectPiecewise constant arguments of generalized typetr_TR
dc.subjectGreen's functiontr_TR
dc.titleGreen's function for impulsive periodic solutions in alternately advanced and delayed differential systems and applicationstr_TR
dc.typeArticletr_TR

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Cilt:70 Sayı:01 (2021)