Stability of sets of stochastic functional differential equations with impulse effect
作者： Yan Xu , Zhimin He
DOI: 10.1186/S13662-015-0551-2
关键词: Differential algebraic equation 、 Mathematics 、 Delay differential equation 、 Examples of differential equations 、 Numerical partial differential equations 、 Stability theory 、 Runge–Kutta method 、 Stochastic differential equation 、 Stochastic partial differential equation 、 Mathematical analysis
摘要: In this paper, we study the stability of sets for a class impulsive stochastic functional differential equations. By employing piecewise continuous Lyapunov functions with Razumikhin methods, some sufficient conditions are established to guarantee equations and also show that impulses play an important role in Three examples presented illustrate effectiveness results obtained.
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