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TitleOn stability for impulsive delay differential equations and application to a periodic lasota-wazewska model
Author(s)Faria, Teresa
Oliveira, José J.
KeywordsDelay differential equation
Yorke condition
Global attractivity
Lasota-Wazewska model
Periodic solution
Issue dateOct-2016
PublisherAmerican Institute of Mathematical Sciences (AIMS)
JournalDiscrete and Continuous Dynamical Systems - Series B
Abstract(s)We consider a class of scalar delay differential equations with impulses and satisfying an Yorke-type condition, for which some criteria for the global stability of the zero solution are established. Here, the usual requirements about the impulses are relaxed. The results can be applied to study the stability of other solutions, such as periodic solutions. As an illustration, a very general periodic Lasota-Wazewska model with impulses and multiple time-dependent delays is addressed, and the global attractivity of its positive periodic solution analysed. Our results are discussed within the context of recent literature.
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AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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