Abstract
We consider the practical stability of impulsive differential equations with infinite delay in terms of two measures. New stability criteria are established by employing Lyapunov functions and Razumikhin technique. Moreover, an example is given to illustrate the advantage of the obtained result.
Highlights
One of the trends in the stability theory of the solutions of differential equations is the socalled practical stability, which was introduced by LaSalle and Lefschetz 1
Abstract and Applied Analysis present in the real world. It is very useful in a predator-prey system. It is an interesting and complicated problem to study the stability of impulsive functional differential systems with infinite delay
The stability results on impulsive finite delay differential equations considered in 4, 5 are generalized into the results on impulsive infinite delay differential equations in terms of two measures
Summary
One of the trends in the stability theory of the solutions of differential equations is the socalled practical stability, which was introduced by LaSalle and Lefschetz 1. We divided the components of x into several groups and correspondingly, we employ several Lyapunov functions Vj t, x j j 1, 2, .
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