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Exponential stability of non-autonomous stochastic partial differential equations with finite memory

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  • Wan, Li
  • Duan, Jinqiao

Abstract

The exponential stability, in both mean square and almost sure senses, for energy solutions to a nonlinear and non-autonomous stochastic partial differential equations with finite memory is investigated. Various criteria for stability are obtained. An example is presented to demonstrate the main results.

Suggested Citation

  • Wan, Li & Duan, Jinqiao, 2008. "Exponential stability of non-autonomous stochastic partial differential equations with finite memory," Statistics & Probability Letters, Elsevier, vol. 78(5), pages 490-498, April.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:5:p:490-498
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    References listed on IDEAS

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    1. Caraballo, Tomás & Liu, Kai, 1999. "On exponential stability criteria of stochastic partial differential equations," Stochastic Processes and their Applications, Elsevier, vol. 83(2), pages 289-301, October.
    2. Liu, Kai & Mao, Xuerong, 1998. "Exponential stability of non-linear stochastic evolution equations," Stochastic Processes and their Applications, Elsevier, vol. 78(2), pages 173-193, November.
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    Cited by:

    1. Chen, Huabin, 2010. "Impulsive-integral inequality and exponential stability for stochastic partial differential equations with delays," Statistics & Probability Letters, Elsevier, vol. 80(1), pages 50-56, January.
    2. Sakthivel, R. & Luo, J., 2009. "Asymptotic stability of nonlinear impulsive stochastic differential equations," Statistics & Probability Letters, Elsevier, vol. 79(9), pages 1219-1223, May.
    3. Huabin Chen, 2015. "The existence and exponential stability for neutral stochastic partial differential equations with infinite delay and poisson jump," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(2), pages 197-217, April.
    4. Long, Shujun & Teng, Lingying & Xu, Daoyi, 2012. "Global attracting set and stability of stochastic neutral partial functional differential equations with impulses," Statistics & Probability Letters, Elsevier, vol. 82(9), pages 1699-1709.
    5. Cui, Jing & Yan, Litan & Sun, Xichao, 2011. "Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 1970-1977.

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