| ALMOST PERIODIC SOLUTIONS TO STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| 基金项目： | partially supported by the NNSF of China(No.11171191);the NSF of Shandong Province(No.ZR2010AL011) |
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| 摘 要： | 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.
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| 关 键 词： | stochastic processes square-mean almost periodicity stochastic differential equation exponential dichotomy |
ALMOST PERIODIC SOLUTIONS TO STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| Institution: | Baifeng Liu,Xidong Sun,Yuliang Han(College of Math.and Information Sciences,Shandong Institute of Business and Technology,Yantai 264005,Shandong) |
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| Abstract: | 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. |
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| Keywords: | stochastic processes square-mean almost periodicity stochastic differential equation exponential dichotomy |
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