Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-18
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper concerns the square-mean almost automorphic solutions to a class of abstract semilinear nonautonomous functional integrodifferential stochastic evolution equations in real separable Hilbert spaces.
Using the so-called “Acquistapace-Terreni” conditions and Banach contraction principle, the existence, uniqueness, and asymptotical stability results of square-mean almost automorphic mild solutions to such stochastic equations are established.
As an application, square-mean almost automorphic solution to a concrete nonautonomous integro-differential stochastic evolution equation is analyzed to illustrate our abstract results.
American Psychological Association (APA)
Xi-liang, Li& Yu-liang, Han. 2013. Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-474393
Modern Language Association (MLA)
Xi-liang, Li& Yu-liang, Han. Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-474393
American Medical Association (AMA)
Xi-liang, Li& Yu-liang, Han. Almost Automorphic Solutions to Nonautonomous Stochastic Functional Integrodifferential Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-474393
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474393