Abstract
By means of Liapunov's direct method coupled with Razumikhin technique, some sufficient conditions for almost sure stability and/or asymptotical stability of the zero solution of functional differential equations with random impulses are presented, where dV(t,x(t))/dt isn't required to be negative definite. Then, the obtained results are applied to the population dynamics to show their applications.
| Original language | English |
|---|---|
| Pages (from-to) | 403-415 |
| Number of pages | 13 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |
| Volume | 15 |
| Issue number | 3 |
| State | Published - Jun 2008 |
Keywords
- Almost sure stability
- Impulsive functional differential equation
- Liapunov function
- Population dynamics
- Razumikhin condition