Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay

Joint Authors

Yan, Litan
Sun, Xichao
Cui, Jing

Source

Abstract and Applied Analysis

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-01-08

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces.

We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as well as its sample paths.

Some known results are generalized and improved.

American Psychological Association (APA)

Cui, Jing& Yan, Litan& Sun, Xichao. 2014. Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033620

Modern Language Association (MLA)

Cui, Jing…[et al.]. Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1033620

American Medical Association (AMA)

Cui, Jing& Yan, Litan& Sun, Xichao. Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033620

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1033620