Stability of impulsive functional differential equations via the Liapunov functional |
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| Authors: | Zhiguo Luo Jianhua Shen |
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| Affiliation: | 1. College of Mathematics and Computer Science, Jishou University, Jishou, Hunan, 416000, PR China;2. Department of Mathematics, Hunan Normal University, Changsha, Hunan, 410081, PR China;3. Department of Mathematics, College of Huaihua, Huaihua, Hunan, 418008, PR China |
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| Abstract: | In this work, we investigate the stability of a class of impulsive functional differential equations. Some general stability theorems are obtained. Our results can be applied to finite delay impulsive systems or infinite delay impulsive systems or impulsive systems involving both finite and infinite delays, in a unified way. Examples are also given to illustrate that applying our theorems yields better conclusions than the results in the literature. |
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