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TitleStability results for impulsive functional differential equations with infinite delay
Author(s)Oliveira, José J.
Faria, Teresa
Gadotti, Marta C.
KeywordsInfinite delay
Existence of solutions
Cohen-Grossberg neural network
Global asymptotic stability
Global exponential stability
Impulses Existence of solutions
Issue dateDec-2012
JournalNonlinear Analysis
Abstract(s)For a family of diff erential equations with in finitive delay and impulses, we establish conditions for the existence of global solutions and for the global asymptotic and global exponential stabilities of an equilibrium point. The results are used to give stability criteria for a very broad family of impulsive neural network models with both unbounded distributed delays and bounded time-varying discrete delays. Most of the impulsive neural network models with delay recently studied are included in the general framework presented here.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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