Asymptotic stability of neutral stochastic functional integro-differential equations

作者：Diop Mamadou Abdoul^*; Caraballo Tomas

来源：Electronic Communications in Probability, 2015, 20: 1-14.

DOI：10.1214/ECP.v20-3036

• Resolvent operators
• C-0-semigroup
• impulsive stochastic neutral partial functional integro-differential equations
• Wiener process
• mild solution
• asymptotic stability

This paper is concerned with the existence and asymptotic stability in the p-th moment of mild solutions of nonlinear impulsive stochastic delay neutral partial functional integro-differential equations. We suppose that the linear part possesses a resolvent operator in the sense given in [8], and the nonlinear terms are assumed to be Lipschitz continuous. A fixed point approach is used to achieve the required result. An example is provided to illustrate the theory developed in this work.

• 出版日期2015-1-2