Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations

Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations
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脉冲非自治偏随机演化方程伪准周期解的存在性及指数稳定性

DOI:
10.1186/s13662-016-1022-0
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发表时间:
2016-11
影响因子:
4.1
通讯作者:
Fangxia Lu (卢芳霞)
Fangxia Lu (卢芳霞)
中科院分区:
数学3区
文献类型:
--
作者:
Zuomao Yan (闫作茂);Fangxia Lu (卢芳霞)

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In this paper, the concept of p-mean piecewise pseudo almost periodic for stochastic.processes is first introduced. Using the exponential dichotomy techniques and a fixed.point strategy with stochastic analysis theory, we establish the existence of p-mean.piecewise pseudo almost periodic mild solutions for a class of impulsive.nonautonomous partial stochastic evolution equations in Hilbert spaces. Moreover,.the exponential stability of p-mean piecewise pseudo almost periodic mild solutions.is investigated. Finally, an example is provided to illustrate the obtained theory.
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