Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations

Yunfeng Li, Pei Cheng () and Zheng Wu
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Yunfeng Li: School of Mathematical Sciences, Anhui University, Hefei 230601, China
Pei Cheng: School of Mathematical Sciences, Anhui University, Hefei 230601, China
Zheng Wu: School of Mathematical Sciences, Anhui University, Hefei 230601, China

Mathematics, 2022, vol. 10, issue 21, 1-17

Abstract: This paper focuses on the problem of the p th moment and almost sure exponential stability of impulsive neutral stochastic functional differential equations (INSFDEs). Based on the Lyapunov function and average dwell time (ADT), two sufficient criteria for the exponential stability of INSFDEs are derived, which manifest that the result obtained in this paper is more convenient to be used than those Razumikhin conditions in former literature. Finally, two numerical examples and simulations are given to verify the validity of our result.

Keywords: impulse; exponential stability; neutral stochastic functional differential equations; average dwell time (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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