Translator Disclaimer
2013 Asymptotic behavior for neutral stochastic partial differential equations with infinite delays
Jing Cui, Litan Yan
Author Affiliations +
Electron. Commun. Probab. 18: 1-12 (2013). DOI: 10.1214/ECP.v18-2858

Abstract

This paper is concerned with the existence and asymptotic behavior of mild solutions to a class of non-linear neutral stochastic partial differential equations with infinite delays. By applying fixed point principle, we present sufficient conditions to ensure that the mild solutions are exponentially stable in $p$th-moment ($p\geq 2$) and almost surely exponentially stable. An example is provided to illustrate the effectiveness of the proposed result.

Citation

Download Citation

Jing Cui. Litan Yan. "Asymptotic behavior for neutral stochastic partial differential equations with infinite delays." Electron. Commun. Probab. 18 1 - 12, 2013. https://doi.org/10.1214/ECP.v18-2858

Information

Accepted: 8 June 2013; Published: 2013
First available in Project Euclid: 7 June 2016

zbMATH: 1297.93173
MathSciNet: MR3070911
Digital Object Identifier: 10.1214/ECP.v18-2858

Subjects:
Primary: 93E15
Secondary: 34K50, 60H15

JOURNAL ARTICLE
12 PAGES


SHARE
Back to Top