Generalized Mean Square Exponential Stability for Stochastic Functional Differential Equations

This work focuses on a class of stochastic functional differential equations and neutral stochastic differential functional equations. By using a new approach, some sufficient conditions are obtained to guarantee the generalized mean square exponential stability for the equation under consideration....

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Bibliographic Details
Main Authors: Tianyu He, Zhi Li, Tianquan Feng
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/12/20/3299
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Summary:This work focuses on a class of stochastic functional differential equations and neutral stochastic differential functional equations. By using a new approach, some sufficient conditions are obtained to guarantee the generalized mean square exponential stability for the equation under consideration. Certain existing results are refined and extended. Lastly, the validity of the main results is confirmed through several simulation examples.
ISSN:2227-7390