On the dynamics of linear functional differential equations with asymptotically constant solutions

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dc.contributor.advisorBaras, John
dc.contributor.authorSomarakis, Christoforos
dc.contributor.authorBaras, John
dc.contributor.authorParaskevas, Evripidis
dc.date.accessioned2014-08-25T12:35:54Z
dc.date.available2014-08-25T12:35:54Z
dc.date.issued2014-08-22
dc.description.abstractWe discuss the dynamics of general linear functional differential equations with solutions that exhibit asymptotic constancy. We apply fixed point theory methods to study the stability of these solutions and we provide sufficient conditions of asymptotic stability with emphasis on the rate of convergence. Several examples are provided to illustrate the claim that the derived results generalize, unify and in some cases improve the existing ones.en_US
dc.identifierhttps://doi.org/10.13016/M2CC7H
dc.identifier.urihttp://hdl.handle.net/1903/15580
dc.language.isoen_USen_US
dc.relation.isAvailableAtInstitute for Systems Researchen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, MD)en_us
dc.relation.ispartofseriesISR; TR 2014-05
dc.subjectFixed Pointsen_US
dc.subjectStabilityen_US
dc.subjectRate of Convergenceen_US
dc.subjectDelaysen_US
dc.titleOn the dynamics of linear functional differential equations with asymptotically constant solutionsen_US
dc.typeTechnical Reporten_US

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