Second-order neutral impulsive stochastic evolution equations with delay

作者：Ren Yong^*; Sun Dandan

来源：Journal of Mathematical Physics, 2009, 50(10): 102709.

DOI：10.1063/1.3251332

• delays
• probability
• stochastic processes
• wave equations

In this paper, we study the second-order neutral stochastic evolution equations with impulsive effect and delay (SNSEEIDs). We establish the existence and uniqueness of mild solutions to SNSEEIDs under non-Lipschitz condition with Lipschitz condition being considered as a special case by the successive approximation. Furthermore, we give the continuous dependence of solutions on the initial data by means of corollary of the Bihari inequality. An application to the stochastic nonlinear wave equation with impulsive effect and delay is given to illustrate the theory.

• 出版日期2009-10
• 单位安徽师范大学