Abstract and Applied Analysis

Existence of Square-Mean Almost Automorphic Solutions to Stochastic Functional Integrodifferential Equations in Hilbert Spaces

Lijie Li

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Abstract

The existence and uniqueness of square-mean almost automorphic mild solution to a stochastic functional integrodifferential equation is studied. Under some appropriate assumptions, the existence and uniqueness of square-mean almost automorphic mild solution is obtained by Banach’s fixed point theorem. Particularly, based on Schauder’s fixed point theorem, the existence of square-mean almost automorphic mild solution is obtained by using the condition which is weaker than Lipschitz conditions. Finally, an example illustrating our main result is given.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 480241, 10 pages.

Dates
First available in Project Euclid: 3 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412361170

Digital Object Identifier
doi:10.1155/2014/480241

Mathematical Reviews number (MathSciNet)
MR3191045

Zentralblatt MATH identifier
07022459

Citation

Li, Lijie. Existence of Square-Mean Almost Automorphic Solutions to Stochastic Functional Integrodifferential Equations in Hilbert Spaces. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 480241, 10 pages. doi:10.1155/2014/480241. https://projecteuclid.org/euclid.aaa/1412361170


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