Stability results for impulsive functional differential equations with infinite delay

• Main Author: Oliveira, José J.
• Publication Date: 2012
• Other Authors: Faria, Teresa, Gadotti, Marta C.
• Format: Article
• Language: eng
• Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
• Download full: https://hdl.handle.net/1822/20401
• topic: Infinite delay; Impulses; Existence of solutions; Cohen-Grossberg neural network; Global asymptotic stability; Global exponential stability; Impulses Existence of solutions; Science & Technology

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.