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Asymptotic behavior for neutral stochastic partial differential equations with infinite delays


 
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1. Title Title of document Asymptotic behavior for neutral stochastic partial differential equations with infinite delays
 
2. Creator Author's name, affiliation, country Jing Cui; Anhui Normal University; China
 
2. Creator Author's name, affiliation, country Litan Yan; Donghua University; China
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Neutral stochastic partial differential equations; exponential stability; infinite delay
 
3. Subject Subject classification 93E15; 34K50; 60H15
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2013-06-08
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/2858
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-2858
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
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