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：
暂无
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
相关论文
共 60 条
[1]  
Abbas S.(2008)Almost periodic solutions of neutral functional differential equations Comput. Math. Appl. 55 2593-2601
[2]  
Bahuguna D.(2009)Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis Boundary Value Probl. Article ID 127510 10-107
[3]  
Alzabut J.O.(1987)A unified approach to abstract linear nonautonomous parabolic equations Rend. Sem. Mat. Univ. Padova 78 47-827
[4]  
Nieto J.J.(2007)Existence of almost periodic solutions to some stochastic differential equations Appl. Anal. 86 819-10
[5]  
Stamov G.Tr.(2007)Square-mean almost periodic solutions nonautonomous stochastic differential equations Electron. J. Differ. Equ. 2007 1-2849
[6]  
Acquistapace P.(2008)Existence of almost periodic solutions to some functional integro-differential stochastic evolution equations Stat. Probab. Lett. 78 2844-19
[7]  
Terreni B.(2008)Existence of Electron. J. Qual. Theory Differ. Equ. 35 1-14
[8]  
Bezandry P.(2009)-almost periodic solutions to a class of nonautonomous stochastic evolution equations Electron. J. Differ. Equ. 2009 1-1511
[9]  
Diagana T.(2011)Existence of quadratic-mean almost periodic solutions to some stochastic hyperbolic differential equations Appl. Math. Comput. 218 1499-30
[10]  
Bezandry P.(1988)Asymptotically almost periodic solutions of stochastic functional differential equations Visnik Kiiv. Univ. Ser. Mat. Mekh. 115 21-96
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