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- W2123669214 abstract "For nonlinear stochastic equations with parameter λ in a Hilbert space, we show the existence and uniqueness of mild solutions. Provided that f satisfies a locally Lipschitz condition and g is a uniformly Lipschitz function, some sufficient conditions for p ( ) moment locally exponential stability as well as almost surely exponential stability of mild solutions are obtained under a sufficiently small initial value ξ. Meanwhile, we also consider parameter dependence of stable mild solutions for the stochastic system if f, g are sufficiently small Lipschitz perturbations in the parameter λ." @default.
- W2123669214 created "2016-06-24" @default.
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- W2123669214 date "2014-10-27" @default.
- W2123669214 modified "2023-09-23" @default.
- W2123669214 title "Local stability and parameter dependence of mild solutions for stochastic differential equations" @default.
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- W2123669214 doi "https://doi.org/10.1186/1687-1847-2014-276" @default.
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