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On the Asymptotic Stability of the Nonlinear Difference Equation System

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dc.contributor.authorDEĞER, Serbun Ufuk
dc.contributor.authorBOLAT, Yaşar
dc.date.accessioned2026-01-05T23:29:24Z
dc.date.issued2021-08-31
dc.description.abstractIn this paper, we obtain some new results on the equi-boundedness of solutions and asymptotic stability for a class of nonlinear difference systems with variable delay of the form x(n+1)=ax(n)+B(n)F(x(n−m(n))), n=0,1,2,...x(n+1)=ax(n)+B(n)F(x(n−m(n))),\ \ \ \ \ \ n=0,1,2,... where FF is the real valued vector function, m:Z→Z+,m:Z→Z+, which is bounded function and maximum value of mm is kk and is a k×kk×k variable coefficient matrix. We carry out the proof of our results by using the Banach fixed point theorem and we use these results to determine the asymptotic stability conditions of an example.
dc.description.urihttps://doi.org/10.33187/jmsm.887537
dc.description.urihttps://dergipark.org.tr/en/download/article-file/1604698
dc.description.urihttps://doaj.org/article/811d5c845a3b4affaaec61d4503c7448
dc.description.urihttps://dx.doi.org/10.33187/jmsm.887537
dc.description.urihttps://dergipark.org.tr/tr/pub/jmsm/issue/64732/887537
dc.identifier.doi10.33187/jmsm.887537
dc.identifier.eissn2636-8692
dc.identifier.endpage71
dc.identifier.openairedoi_dedup___::d495a944ff4392da9afcbf186428b586
dc.identifier.orcid0000-0001-9458-8930
dc.identifier.orcid0000-0001-5215-427x
dc.identifier.startpage65
dc.identifier.urihttps://hdl.handle.net/20.500.12597/43828
dc.identifier.volume4
dc.publisherJournal of Mathematical Sciences and Modelling
dc.relation.ispartofJournal of Mathematical Sciences and Modelling
dc.rightsOPEN
dc.subjectliapunov stable
dc.subjectMatematik
dc.subjectasymptotic stability
dc.subjectQA1-939
dc.subjectAsymptotic stability
dc.subjectDifference equation
dc.subjectLiapunov stable
dc.subjectdifference equation
dc.subjectMathematical Sciences
dc.subjectMathematics
dc.titleOn the Asymptotic Stability of the Nonlinear Difference Equation System
dc.typeArticle
dspace.entity.typePublication
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