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The improvement of Razumikhin type theorems for impulsive functional differential equations

✍ Scribed by Kaien Liu; Guowei Yang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
488 KB
Volume
70
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, by using Lyapunov functions and Razumikhin techniques, the stability of impulsive functional differential equations is investigated. The obtained results avoid the difficulty of constructing a P function in Razumikhin's condition and they generalize and improve the existing theorems. An example is given to illustrate the importance of the obtained results.

πŸ“œ SIMILAR VOLUMES

Razumikhin-type theorems on exponential
Razumikhin-type theorems on exponential stability of impulsive infinite delay differential systems
✍ Xilin Fu; Xiaodi Li πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 745 KB

## a b s t r a c t In this note, we study the exponential stability of impulsive functional differential systems with infinite delays by using the Razumikhin technique and Lyapunov functions. Several Razumikhin-type theorems on exponential stability are obtained, which shows that certain impulsive