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Original Articles

Exponential stability for second-order neutral stochastic differential equations with impulses

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Pages 1300-1309 | Received 13 Jul 2014, Accepted 08 Jan 2015, Published online: 10 Feb 2015
 

Abstract

In this paper, we investigate the problem on the exponential stability of mild solution for the second-order neutral stochastic partial differential equations with impulses by utilising the cosine function theory. A set of novel sufficient conditions is derived by establishing an impulsive integral inequality. As a final point, an example is given to illustrate the effectiveness of the obtained theory.

Acknowledgements

The authors would like to thank the editor and anonymous reviewers for their valuable comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education [2013R1A1A2A10005201].

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