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TitleA note on stability of impulsive scalar delay differential equations
Author(s)Faria, Teresa
Oliveira, José J.
KeywordsDelay differential equation
Yorke condition
Global attractivity
Issue dateSep-2016
PublisherUniversity Szeged, Bolyai Institute
JournalElectronic Journal of Qualitative Theory of Differential Equations
Abstract(s)For a class of scalar delay differential equations with impulses and satisfying a Yorke-type condition, criteria for the global asymptotic stability of the zero solution are established. These equations possess a non-delayed feedback term, which will be used to refine the general results on stability presented in recent literature. The usual requirements on the impulses are also relaxed. As an application, sufficient conditions for the global attractivity of a periodic solution for an impulsive periodic model are given.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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