On the stability of impulsive functional differential equations with infinite delays
Corresponding Author
Xiaodi Li
School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, China
Correspondence to: Xiaodi Li, School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, China
Search for more papers by this authorT. Caraballo
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla, Spain
Search for more papers by this authorR. Rakkiyappan
Department of Mathematics, Bharathiar University, Coimbatore -, 641 046 Tamilnadu, India
Search for more papers by this authorXiuping Han
School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, China
Search for more papers by this authorCorresponding Author
Xiaodi Li
School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, China
Correspondence to: Xiaodi Li, School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, China
Search for more papers by this authorT. Caraballo
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla, Spain
Search for more papers by this authorR. Rakkiyappan
Department of Mathematics, Bharathiar University, Coimbatore -, 641 046 Tamilnadu, India
Search for more papers by this authorXiuping Han
School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, China
Search for more papers by this authorAbstract
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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