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

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摘要

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.

论文关键词:Exponential stability,Second-order,Infinite delays,Impulses,Mild solutions

论文评审过程:Received 8 November 2015, Revised 16 February 2016, Accepted 12 April 2016, Available online 31 May 2016, Version of Record 31 May 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2016.04.021