Stability for Impulsive Functional Differential Equations with Infinite Delays  

作　　者：Xian Long FU Lei ZHOU 

机构地区：[1]Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2010年第5期909-922,共14页数学学报（英文版）

基　　金：Supported by NNSF of China (Grant No. 10671069);NSF of Shanghai (Grant No. 09ZR1408900);Shanghai Leading Academic Discipline Project (Grant No. B407)

摘　　要：In this paper, some theorems of uniform stability and uniform asymptotic stability for impulsive functional differential equations with infinite delay are proved by using Lyapunov functionals and Razumikhin techniques. An example is also proved at the end to illustrate the application of the obtained results.In this paper, some theorems of uniform stability and uniform asymptotic stability for impulsive functional differential equations with infinite delay are proved by using Lyapunov functionals and Razumikhin techniques. An example is also proved at the end to illustrate the application of the obtained results.

关 键 词：impulsive functional equation infinite delay STABILITY Lyapunov functional 

分 类 号：O177.91[理学—数学] O175.1[理学—基础数学]