Stability of functional differential equations with impulses |
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| Authors: | Kaien Liu Xilin Fu |
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| Institution: | a Department of Mathematics, Qingdao University, Qingdao, Shandong 266071, People's Republic of China
b Department of Mathematics, Shandong Normal University, Jinan, Shandong 250014, People's Republic of China |
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| Abstract: | In this paper, the stability of functional differential equations (FDE) with impulses is investigated. Some comparison theorems are given. Several Lyapunov-Razumikhin functions of partial components of the state variable x, which can be much easier constructed, are used so that the conditions ensuring that stability are simpler and less restrictive. The results improve and generalize the ones in the literature. An example is also given to illustrate the importance of our results. |
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| Keywords: | FDE with impulses Uniform stability Uniform asymptotic stability Lyapunov-Razumikhin functions |
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