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The Asymptotic Behavior for Second-Order Neutral Stochastic Partial Differential Equations with Infinite Delay

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  • Huabin Chen

Abstract

By establishing two Lemmas, the exponential stability and the asymptotical stability for mild solution to the second-order neutral stochastic partial differential equations with infinite delay are obtained, respectively. Our results can generalize and improve some existing ones. Finally, an illustrative example is given to show the effectiveness of the obtained results.

Suggested Citation

  • Huabin Chen, 2011. "The Asymptotic Behavior for Second-Order Neutral Stochastic Partial Differential Equations with Infinite Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-15, August.
    • Handle: RePEc:hin:jnddns:584510
    DOI: 10.1155/2011/584510
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