Asymptotic stability for impulsive functional differential equation

作者：Chen, Fulai^*; Wen, Xianzhang

来源：Journal of Mathematical Analysis and Applications, 2007, 336(2): 1149-1160.

DOI：10.1016/j.jmaa.2007.03.029

• asymptotically stable
• impulse
• liapunov functional

In this paper, sufficient conditions are given for asymptotic stability and uniformly asymptotic stability of impulsive functional differential equation of the form
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and the conditions in theorems extend or improve the corresponding ones in [J. Yan, J. Shen, Impulsive stabilization of functional differential equation by Liapunov-Razumikhin functions, Nonlinear Anal. 37 (1999) 245-255; J. Shen, Z. Luo, Impulsive stabilization of functional differential equations via Liapunov functionals, J. Math. Anal. Appl. 240 (1999) 1-15; L. Hatvani, On the asymptotic stability for nonautonornous functional differential equations by Liapumov functionals, Trans. Amer. Math. Soc. 354 (2002) 3555-3571].

• 出版日期2007-12-15
• 单位湘南学院; 湖南师范大学