On the Qualitative Analysis of Volterra IDDEs with Infinite Delay

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dc.contributor.authorTunc, Osman
dc.contributor.authorKorkmaz, Erdal
dc.contributor.authorAtan, Ozkan
dc.date.accessioned2021-04-10T16:37:14Z
dc.date.available2021-04-10T16:37:14Z
dc.date.issued2020
dc.departmentMAUNen_US
dc.description.abstractThis investigation deals with a nonlinear Volterra integro-differential equation with infinite retardation (IDDE). We will prove three new results on the stability, uniformly stability (US) and square integrability (SI) of solutions of that IDDE. The proofs of theorems rely on the use of an appropriate Lyapunov-Krasovskii functional (LKF). By the outcomes of this paper, we generalize and obtain some former results in mathematical literature under weaker conditions.en_US
dc.identifier.endpage457en_US
dc.identifier.issn1932-9466
dc.identifier.issue1en_US
dc.identifier.startpage446en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12639/2216
dc.identifier.volume15en_US
dc.identifier.wosWOS:000539014600025
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherPrairie View A & M Univ, Dept Mathematicsen_US
dc.relation.ispartofApplications And Applied Mathematics-An International Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinearen_US
dc.subjectLyapunov-Krasovskii functionalen_US
dc.subjectVolterra IDDEen_US
dc.subjectstabilityen_US
dc.subjectUniformly stabilityen_US
dc.subjectSquare integrabilityen_US
dc.titleOn the Qualitative Analysis of Volterra IDDEs with Infinite Delayen_US
dc.typeArticle

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