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Mean square exponential stability for stochastic functional differential equations with impulses
2013
Nonlinear Analysis and Differential Equations
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In this paper, stochastic functional differential equations with impulses are considered. By employing Gronwall-Bellman inequality, the stochastic analytic technique and the properties of operator semigroup, the sufficient conditions ensuring the exponential stability in mean square for mild solution of such system are obtained. Our results can generalize and improve the existing works. Mathematics Subject Classification: 34K45, 60H15, 93E15
doi:10.12988/nade.2013.13002
fatcat:2xdau4svybcnlb64mjbag4kcyy