Global existence and controllability to a stochastic integro-differential equation

In this paper, we are focused upon the global uniqueness results for a stochastic integro-differential equation in Fréchet spaces. The main results are proved by using the resolvent operators combined with a nonlinear alternative of Leray-Schauder type in Fréchet spaces due to Frigon and Granas. As...

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations 2010-01, Vol.2010 (47), p.1-15
Main Authors: Chang, Yong-Kui, Zhao, Zhi-Han, Nieto, Juan
Format: Article
Language:English
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Summary:In this paper, we are focused upon the global uniqueness results for a stochastic integro-differential equation in Fréchet spaces. The main results are proved by using the resolvent operators combined with a nonlinear alternative of Leray-Schauder type in Fréchet spaces due to Frigon and Granas. As an application, a controllability result with one parameter is given to illustrate the theory.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2010.1.47