Resumen de Perturbed Second-Order Stochastic Evolution Equations

Lijuan Cheng, Yong Ren

• In this paper, we discuss a class of perturbed second-order stochastic evolution equations. A perturbed second-order stochastic evolution equation for the unperturbed one is proposed. We show the mild solutions of perturbed second-order stochastic evolution equation and the unperturbed one are close on finite time-interval and on interval whose length tends to infinity as small perturbations tend to zero. A class of stochastic partial differential equations with perturbations is proposed as an application to illustrate the theoretical results.