Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 372, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2019.124954
Keywords
Uniformly asymptotically stable; Impulsive; Uniform stability; Reaction-diffusion system; Functional differential equation
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Funding
- National Natural Science Foundation of China, P. R. China [61873071]
- Deanship of Scientific Research at King Khalid University
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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. (C) 2019 Elsevier Inc. All rights reserved.
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