| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 766974 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 7 Pages |
This paper is concerned with the exponential stability problem of second-order nonlinear stochastic evolution equations with Poisson jumps. By using the stochastic analysis theory, a set of novel sufficient conditions are derived for the exponential stability of mild solutions to the second-order nonlinear stochastic differential equations with infinite delay driven by Poisson jumps. An example is provided to demonstrate the effectiveness of the proposed result.
► Second-order nonlinear stochastic evolution equations with Poisson jumps and infinite delay are considered. ► A set of novel sufficient conditions for the exponential stability of mild solutions to the equations are established. ► An example is given to show the effectiveness of the obtained results.
