Uniform stability of delayed impulsive reaction–diffusion systems

摘要

In this article, the stability problem of impulsive reaction–diffusion functional differential equations (IRFDEs) is discussed. Applying Lyapunov functional method and the comparison principle of IRFDEs, some useful criteria are acquired to assure uniform stability and uniformly asymptotical stability of the equilibrium point of IRFDEs, respectively. Finally, a numerical example is provided to show the validity of our findings.