Global existence and controllability to a stochastic integro-differential equation
Yong-Kui Chang, Lanzhou Jiaotong University, Lanzhou, P. R. China E. J. Qualitative Theory of Diff. Equ., No. 47. (2010), pp. 1-15.
Zhi-Han Zhao, Lanzhou Jiaotong University, Lanzhou, P. R. China
J. J. Nieto, Universidad de Santiago de Compostela, Santiago de Compostela, Spain
| Communicated by M. Benchohra. | Received on 2010-04-27 Appeared on 2010-08-26 |
Abstract: 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.
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