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A note on exponential stability for second-order neutral stochastic partial differential equations with infinite delays in the presence of impulses

Author

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  • Jiang, Feng
  • Yang, Hua
  • Shen, Yi

Abstract

In this work, the problem on the exponential stability for second-order neutral stochastic partial differential equations with infinite delays is considered in the presence of impulses under some conditions. By employing the new integral inequality technique, some algebraic criteria of stability are established for the concerned problem and some existing results are generalized and improved. Finally, an illustrative example is given to demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Jiang, Feng & Yang, Hua & Shen, Yi, 2016. "A note on exponential stability for second-order neutral stochastic partial differential equations with infinite delays in the presence of impulses," Applied Mathematics and Computation, Elsevier, vol. 287, pages 125-133.
    • Handle: RePEc:eee:apmaco:v:287-288:y:2016:i::p:125-133
    DOI: 10.1016/j.amc.2016.04.021
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    References listed on IDEAS

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    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. Arora, Urvashi & Sukavanam, N., 2015. "Approximate controllability of second order semilinear stochastic system with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 111-119.
    3. 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.
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