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Annals of Functional Analysis
Article . 2015 . Peer-reviewed
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Existence of Stepanov-like square-mean pseudo almost periodic solutions to partial stochastic neutral differential equations

Authors: Yan, Zuomao; Zhang, Hongwu;

Existence of Stepanov-like square-mean pseudo almost periodic solutions to partial stochastic neutral differential equations

Abstract

In this paper, we introduce the concept of Stepanov-like square-mean pseudo almost periodic functions and establish the existence and uniqueness of square-mean almost periodic mild solutions for several neutral partial stochastic differential equations with Stepanov-like almost periodic coefficients in a real separable Hilbert space. Moreover, two examples are given to illustrate the general theorems.

Keywords

34K14, Stepanov-like pseudo almost periodic, 34F05, Neutral partial stochastic differential equations, 60H10, Square-mean pseudo almost periodic, Exponentially stable semigroup, 35B15

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Top 10%
Top 10%
Top 10%
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