Article

Stability of impulsive functional differential equations

Department of Mathematics, Tongji University, 200092, PR China
Journal of Mathematical Analysis and Applications (Impact Factor: 1.12). 01/2005; 68(12):3665-3678. DOI: 10.1016/j.na.2007.04.009

ABSTRACT In this paper the stability of impulsive functional differential equations in which the state variables on the impulses are related to the time delay is studied. By using Lyapunov functions and Razumikhin techniques, some criteria of stability, asymptotic stability and practical stability for impulsive functional differential equations in which the state variables on the impulses are related to the time delay are provided. Some examples are also presented to illustrate the efficiency of the results obtained.

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