pth mean almost periodic solutions to neutral stochastic evolution equations with infinite delay and Poisson jumps
In this paper, we investigate the p th mean almost periodic solution to a neutral stochastic evolution equation with infinite delay and Poisson jumps. We give a sufficient condition for the existence and uniqueness of p th mean almost periodic solution and the condition depends on the continuity of...
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Veröffentlicht in: | Advances in difference equations 2019-07, Vol.2019 (1), p.1-17, Article 296 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper, we investigate the
p
th mean almost periodic solution to a neutral stochastic evolution equation with infinite delay and Poisson jumps. We give a sufficient condition for the existence and uniqueness of
p
th mean almost periodic solution and the condition depends on the continuity of coefficients and the power of a fractional operator. We give an example to illustrate the abstract results. |
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ISSN: | 1687-1847 1687-1839 1687-1847 |
DOI: | 10.1186/s13662-019-2223-0 |