Uniform stability of delayed impulsive reaction–diffusion systems

Ma Suriguga, Yonggui Kao and Abd-Allah Hyder

Applied Mathematics and Computation, 2020, vol. 372, issue C

Abstract: 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.

Keywords: Uniformly asymptotically stable; Impulsive; Uniform stability; Reaction–diffusion system; Functional differential equation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:372:y:2020:i:c:s0096300319309464

DOI: 10.1016/j.amc.2019.124954

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