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
Hauptverfasser: Gao, Lili, Yan, Litan
Format: Artikel
Sprache:eng
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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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2223-0