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Existence of bounded solutions for inhomogeneous linear delay equations

dc.contributor.authorTacuri, Patricia H.
dc.contributor.authorFrasson, Miguel V.S.
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2022-04-29T08:45:00Z
dc.date.available2022-04-29T08:45:00Z
dc.date.issued2015-10-01
dc.description.abstractIn this paper, we consider a non-autonomous inhomogeneous linear retarded functional differential equations where the forcing term is a bounded continuous function. We show that a sufficient condition which ensure the existence of bounded solutions of the delay system is the property of exponential dichotomy of the solution operator of the homogeneous system associated. We use the sun-star framework and the perturbation theory for dual semigroups.en
dc.description.affiliationUniversity of São Paulo State Campus Presidente Prudente
dc.description.affiliationUniversity of São Paulo Campus São Carlos
dc.format.extent495-510
dc.identifier.citationAdvanced Studies in Contemporary Mathematics (Kyungshang), v. 25, n. 4, p. 495-510, 2015.
dc.identifier.issn1229-3067
dc.identifier.scopus2-s2.0-84977274242
dc.identifier.urihttp://hdl.handle.net/11449/231378
dc.language.isoeng
dc.relation.ispartofAdvanced Studies in Contemporary Mathematics (Kyungshang)
dc.sourceScopus
dc.subjectDelay inhomogeneous system
dc.subjectExponential dichotomy
dc.subjectPerturbation theory
dc.subjectSun-star spaces
dc.titleExistence of bounded solutions for inhomogeneous linear delay equationsen
dc.typeArtigo
dspace.entity.typePublication
unesp.departmentEstatística - FCTpt

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