Difference inequality for stability of impulsive difference equations with distributed delays
1 Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P. R. China
2 College of Mathematics and Information Science, Leshan Teachers College, Leshan 614004, P.R. China
Journal of Inequalities and Applications 2011, 2011:8 doi:10.1186/1029-242X-2011-8Published: 17 June 2011
In this paper, we consider a class of impulsive difference equations with distributed delays. By establishing an impulsive delay difference inequality and using the properties of "ρ-cone" and eigenspace of the spectral radius of non-negative matrices, some new sufficient conditions for global exponential stability of the impulsive difference equations with distributed delays are obtained. An example is given to demonstrate the effectiveness of the theory.