Stability of functional differential equations with impulses
暂无分享,去创建一个
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.
[1] Jianhua Shen,et al. Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions , 1999 .
[2] Xinzhi Liu,et al. Existence, uniqueness and boundedness results for impulsive delay differential equations , 2000 .
[3] Yepeng Xing,et al. A new approach to stability of impulsive functional differential equations , 2004, Appl. Math. Comput..
[4] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.