EXISTENCE AND STABILIZATION FOR IMPULSIVE DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH MULTIPLE DELAYS

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dc.contributor.authorPinelas, Sandra
dc.contributor.authorTunc, Osman
dc.contributor.authorKorkmaz, Erdal
dc.contributor.authorTunc, Cemil
dc.date.accessioned2024-12-14T22:07:42Z
dc.date.available2024-12-14T22:07:42Z
dc.date.issued2024
dc.departmentMuş Alparslan Üniversitesien_US
dc.description.abstractExistence and stability of solutions are important parts in the qualitative study of delay differential equations. The stabilizing by imposing proper impulse controls are used in many areas of natural sciences and engineering. This article provides sufficient conditions for the existence and exponential stabilization of solutions to delay impulsive differential equations of second-order with multiple delays. The main tools in this article are the Schaefer fixed point theorem, fixed impulse effects, and Lyapunov-Krasovskii functionals. The outcomes extend earlier results in the literature.en_US
dc.description.sponsorshipCenter for Research and Development in Mathematics and Applications (CIDMA), through the Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) [UIDB/04106/2020, UIDP/0410 6/2020]en_US
dc.description.sponsorshipThis research was supported by the Center for Research and Development in Mathematics and Applications (CIDMA) , through the Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) , references UIDB/04106/2020 and UIDP/0410 6/2020. The authors would like to thank the anonymous referees and the handling Editor for many useful comments and suggestions, leading to a substantial improvement in the presentation of this article.en_US
dc.identifier.doi10.58997/ejde.2024.07
dc.identifier.issn1072-6691
dc.identifier.issue7en_US
dc.identifier.scopus2-s2.0-85184219784
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.58997/ejde.2024.07
dc.identifier.urihttps://hdl.handle.net/20.500.12639/6720
dc.identifier.volume2024en_US
dc.identifier.wosWOS:001166006000001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTexas State Univen_US
dc.relation.ispartofElectronic Journal of Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmzKA_20241214
dc.subjectImpulsive delay differential equationsen_US
dc.subjectexponentially stabilizationen_US
dc.subjectexistence of solutionsen_US
dc.subjectmultiple delaysen_US
dc.titleEXISTENCE AND STABILIZATION FOR IMPULSIVE DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH MULTIPLE DELAYSen_US
dc.typeArticle

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