The global existence of the solution and impulsive synchronization for m-dimensional reaction-diffusion system

Abstract

In this paper, an m-dimensional impulsive reaction-diffusion system is studied. Sufficient conditions are obtained for the global existence of solution for the impulsive system. By considering the equi-attractivity property of the impulsive error system, the impulsive synchronization of the m-dimensional reaction-diffusion system is investigated, and the sufficient conditions leading to the equi-attractivity property are obtained.