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Uniform stability of delayed impulsive reaction–diffusion systems
Journal article   Peer reviewed

Uniform stability of delayed impulsive reaction–diffusion systems

Ma Suriguga, Yonggui Kao and Abd-Allah Hyder
Applied mathematics and computation, Vol.372, p.124954
01/05/2020
DOI: https://doi.org/10.1016/j.amc.2019.124954

Abstract

Functional differential equation Impulsive Reaction–diffusion system Uniform stability Uniformly asymptotically stable
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.

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