On the stability of impulsive functional differential equations with infinite delays |
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| Authors: | Xiaodi Li T Caraballo R Rakkiyappan Xiuping Han |
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| Institution: | 1. School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, China;2. Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080‐Sevilla, Spain;3. Department of Mathematics, Bharathiar University, Coimbatore ‐, Tamilnadu, India |
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| Abstract: | In this paper, the stability problem of impulsive functional differential equations with infinite delays is considered. By using Lyapunov functions and the Razumikhin technique, some new theorems on the uniform stability and uniform asymptotic stability are obtained. The obtained results are milder and more general than several recent works. Two examples are given to demonstrate the advantages of the results. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | infinite delays impulsive differential equations Lyapunov functions stability |
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