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Original Articles

The Banach Spaces and with Application to the Approximate Controllability of Stochastic Partial Functional Differential Equations with Infinite Delay

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Pages 995-1024 | Received 08 Mar 2006, Accepted 19 Mar 2007, Published online: 30 Aug 2007
 

Abstract

In this article, we shall consider the approximate controllability for stochastic partial functional differential equations with infinite delay in space (p > 2). By using the Banach fixed point theorem, we obtain the sufficient conditions. At the same time, we shall present an example for Volterra stochastic integro-differential reaction–diffusion equation which illustrates our main theorem.

Acknowledgments

Supported by the NNSF of China.

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