Stability results for impulsive functional differential equations with infinite delay

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2012 Portugal, Brazil English Publisher:Elsevier BVJournal:Nonlinear Analysis: Theory, Methods & Applications, volume 75, pages 6,570-6,587 (issn: 0362-546X,

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Authors: Faria, Teresa; Gadotti, Marta C.; Oliveira, Jose J.;

doi: 10.1016/j.na.2012.07.030

handle: 1822/20401 , 11449/25127

Stability results for impulsive functional differential equations with infinite delay

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Abstract

In this interesting paper, the authors obtain global asymptotic stability conditions for the following system \[ \dot{x_i}(t)=-a_i(x_i(t))[b_i(x_i(t))+f_i(t,x_t)], \quad t\neq t_k,\;i=1,\dots,n, \] \[ \Delta(x_i(t_k))=I_{ik}(x_i(t_k^-)), \] with applications to a generalized Cohen-Grossberg neural network model with time-varying delays and distributed delays.

Countries

Portugal, Brazil

Related Organizations

Sao Paulo State University
Brazil
University of Minho
Portugal
University of Lisbon
Portugal
Universidade Estadual Paulista - UNESP
Brazil

Keywords

Global asymptotic stability, Stability theory of functional-differential equations, Functional-differential equations with impulses, Neural networks for/in biological studies, artificial life and related topics, Existence of solutions, global asymptotic stability, Asymptotic theory of functional-differential equations, impulses, Cohen-Grossberg neural network, Global exponential stability, Impulses Existence of solutions, infinite delay, Impulses, Infinite delay

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