Almost Periodic Solutions to a Stochastic Differential Equation in Hilbert Spaces

被引:2
|
作者
Yong-Kui Chang
Ruyun Ma
Zhi-Han Zhao
机构
[1] Lanzhou Jiaotong University,Department of Mathematics
[2] Northwest Normal University,Department of Mathematics
来源
Results in Mathematics | 2013年 / 63卷
关键词
Primary 34K14; Secondary 60H10; Stochastic differential equations; quadratic mean almost periodic; analytic semigroups of linear operators;
D O I
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中图分类号
学科分类号
摘要
In this paper, we prove the existence and uniqueness of quadratic mean almost periodic mild solutions for a class of stochastic differential equations in a real separable Hilbert space. The main technique is based upon an appropriate composition theorem combined with the Banach contraction mapping principle and an analytic semigroup of linear operators.
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页码:435 / 449
页数:14
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