Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms

Abstract

An impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms is considered. The reaction-diffusion terms are approximated by divided differences. For simplicity of notation the spatial domain Ω is assumed to be a finite closed interval [a, b]. Under suitable conditions in terms of M−matrices it is proved that the system obtained has a unique equilibrium point which is globally exponentially stable