Journal
CHAOS SOLITONS & FRACTALS
Volume 101, Issue -, Pages 41-49Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2017.05.018
Keywords
Impulsive functional differential equations (IFDEs); Neutral type; Razumikhin method; Uniform stability; Asymptotic stability; Lyapunov function
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Funding
- National Natural Science Foundation of China [11301308, 61673247]
- Research Fund for Excellent Youth Scholars of Shandong Province [ZR2016JL024]
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Although the well-known Razumikhin method has been well developed for the stability of functional differential equations with or without impulses and it is very useful in applications, so far there is almost no result of Razumikhin type on stability of impulsive functional differential equations of neutral type. The purpose of this paper is to close this gap and establish some Razumikhin-based stability results for impulsive functional differential equations of neutral type. A kind of auxiliary function N(t) that has great randomicity is introduced to Razumikhin condition. Some examples are given to show the effectiveness and advantages of the developed method. (C) 2017 Elsevier Ltd. All rights reserved.
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