带Poisson跳的随机时变时滞微分方程全局解的存在性

The Existence of GlobalSolutions to StochasticTime-Varying DelayDifferential Equationswith Poisson Jump

本文研究了一类高非线性的带Poisson跳的随机时变时滞微分方程。运用Lyapunov函数方法、随机分析和代数不等式技巧,研究了该类方程全局解的存在性。This paper investigates a class of stochastic time-varying delay differential equations(STVDEs) with Poisson jump. By employing the Lyapunov functions method, stochas-tic analysis and algebraic inequality techniques, the existence of the global solution toa STVDE with Poisson jump is obtained.