Approximate controllability of some nonlinear systems in Banach spaces

dc.contributor.authorMahmudov, Nazim I.
dc.date.accessioned2026-02-06T18:53:00Z
dc.date.issued2013
dc.departmentDoğu Akdeniz Üniversitesi
dc.description.abstractIn this paper, abstract results concerning the approximate controllability of semilinear evolution systems in a separable reflexive Banach space are obtained. An approximate controllability result for semilinear systems is obtained by means of Schauder's fixed-point theorem under the compactness assumption of the linear operator involved. It is also proven that the controllability of the linear system implies the controllability of the associated semilinear system. Then the obtained results are applied to derive sufficient conditions for the approximate controllability of the semilinear fractional integrodifferential equations in Banach spaces and heat equations.
dc.identifier.doi10.1186/1687-2770-2013-50
dc.identifier.endpage13
dc.identifier.issn1687-2770
dc.identifier.scopus2-s2.0-84887945468
dc.identifier.scopusqualityQ1
dc.identifier.startpage1
dc.identifier.urihttps://doi.org/10.1186/1687-2770-2013-50
dc.identifier.urihttps://hdl.handle.net/11129/15781
dc.identifier.wosWOS:000316968800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringeropen
dc.relation.ispartofBoundary Value Problems
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260204
dc.subjectFunctional-Differential Systems
dc.subjectStochastic-Evolution Equations
dc.subjectIntegrodifferential-Systems
dc.subjectInclusions
dc.subjectExistence
dc.titleApproximate controllability of some nonlinear systems in Banach spaces
dc.typeArticle

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