By applying the properties of almost periodic function and exponential dichotomy of linear system as well as Banach fixed point theorem,we establish the conditions for the existence and uniqueness of square-mean almos...By applying the properties of almost periodic function and exponential dichotomy of linear system as well as Banach fixed point theorem,we establish the conditions for the existence and uniqueness of square-mean almost periodic solution to some stochastic functional differential equations.展开更多
In this paper,we first investigate some basic properties of asymptotically mean almost periodic random sequences on Z+and then show some properties of asymptotically mean almost periodic solutions to random difference...In this paper,we first investigate some basic properties of asymptotically mean almost periodic random sequences on Z+and then show some properties of asymptotically mean almost periodic solutions to random difference equations.展开更多
In this paper,we aim to study the existence and uniqueness of square-mean almost automorphic mild solution to a stochastic delay equation under some suitable assumptions imposed on its coefficients.As an application,a...In this paper,we aim to study the existence and uniqueness of square-mean almost automorphic mild solution to a stochastic delay equation under some suitable assumptions imposed on its coefficients.As an application,almost automorphic mild solutions to a class of stochastic partial functional differential equations are analyzed,which shows the feasibility of our results.展开更多
基金partially supported by the NNSF of China(No.11171191)the NSF of Shandong Province(No.ZR2010AL011)
文摘By applying the properties of almost periodic function and exponential dichotomy of linear system as well as Banach fixed point theorem,we establish the conditions for the existence and uniqueness of square-mean almost periodic solution to some stochastic functional differential equations.
基金Supported by the NNSF of China(No.11171191)the NSF of Shandong Province(No.ZR2010AL011)
文摘In this paper,we first investigate some basic properties of asymptotically mean almost periodic random sequences on Z+and then show some properties of asymptotically mean almost periodic solutions to random difference equations.
基金Partially supported by the NNSF of China(Grant No.11026150,11026098 and 11171191)
文摘In this paper,we aim to study the existence and uniqueness of square-mean almost automorphic mild solution to a stochastic delay equation under some suitable assumptions imposed on its coefficients.As an application,almost automorphic mild solutions to a class of stochastic partial functional differential equations are analyzed,which shows the feasibility of our results.
