Open Access
2013 Almost Automorphic Solutions to Some Stochastic Functional Differential Equations with Delay
Zhi-Han Zhao, Yong Kui Chang, Juan J. Nieto
Afr. Diaspora J. Math. (N.S.) 15(2): 7-25 (2013).

Abstract

In this paper, we obtain a collection of existence results of almost automorphic mild solutions to several stochastic functional differential equations in a real separable Hilbert space. The main technique is based upon some appropriate composition theorems combined with the fixed point method. Moreover, an example is also given to justify the practical usefulness of the established general theorems.

Citation

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Zhi-Han Zhao. Yong Kui Chang. Juan J. Nieto. "Almost Automorphic Solutions to Some Stochastic Functional Differential Equations with Delay." Afr. Diaspora J. Math. (N.S.) 15 (2) 7 - 25, 2013.

Information

Published: 2013
First available in Project Euclid: 10 October 2013

zbMATH: 1281.34129
MathSciNet: MR3119755

Subjects:
Primary: 34F05 , 34K14 , 35B15 , 60H10

Keywords: Almost automorphy , Delay , Stochastic functional differential equations

Rights: Copyright © 2013 Mathematical Research Publishers

Vol.15 • No. 2 • 2013
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