Mean square stability analysis of impulsive stochastic differential equations with delays |
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| Authors: | Jun Yang Shouming Zhong Wenpin Luo |
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| Affiliation: | 1. College of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, PR China;2. Department of Mathematics, Sichuan University of Science and Engineering, Zigong, Sichuan, 643000, PR China |
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| Abstract: | In this article, based on Lyapunov–Krasovskii functional method and stochastic analysis theory, we obtain some new criteria ensuring mean square stability of trivial solution of a class of impulsive stochastic differential equations with delays. As an application, a class of stochastic impulsive neural network with delays has been discussed. One illustrative example has been provided to show the effectiveness of our results. |
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| Keywords: | 93E15 |
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