Title: The global existence of the solution and impulsive synchronisation for a class of reaction-diffusion system

Authors: Wanli Yang; Suwen Zheng; Junhong Liu

Addresses: Institute of Nonlinear Science, Academy of Armored Forces Engineering, Beijing 100072, China ' Institute of Nonlinear Science, Academy of Armored Forces Engineering, Beijing 100072, China ' Institute of Nonlinear Science, Academy of Armored Forces Engineering, Beijing 100072, China

Abstract: In this paper, a class of impulsive reaction-diffusion system is studied. Sufficient conditions are obtained for the global existence of solution for the impulsive system. Through considering the equi-attractivity property of the impulsive error system, the impulsive synchronisation of the reaction-diffusion system is investigated, and the sufficient conditions leading to the equi-attractivity property are obtained.

Keywords: equi-attractivity; impulsive synchronisation; global solutions; reaction-diffusion systems; impulsive errors.

DOI: 10.1504/IJAMECHS.2012.052217

International Journal of Advanced Mechatronic Systems, 2012 Vol.4 No.5/6, pp.230 - 236

Published online: 30 Aug 2014 *

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