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most citedMean Square Polynomial Stability of Numerical Solutions to a Class of Stochastic Differential Equations

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math.PR2014★ 2 cited

Mean Square Polynomial Stability of Numerical Solutions to a Class of Stochastic Differential Equations

Mohammud Foondun, Wei Liu, Xuerong Mao

The exponential stability of numerical methods to stochastic differential equations (SDEs) has been widely studied. In contrast, there are relatively few works on polynomial stabil…

math.PR2010

Khasminskii-Type Theorem and LaSalle-Type Theorem for Stochastic Evolution Delay Equations

Jianhai Bao, Xuerong Mao, Chenggui Yuan

In this paper we study the well-known Khasminskii-Type Theorem, i.e. the existence and uniqueness of solutions of stochastic evolution delay equations, under local Lipschitz condit…