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
DOI: 10.12677/PM.2024.148315, PDF,    国家自然科学基金支持
作者: 李光洁：广东外语外贸大学数学与统计学院，广东 广州
关键词: 随机微分方程；时变时滞；Poisson 跳；解的存在性；Stochastic Differential Equations； Time-Varying Delay； Poisson Jump； The Existence of the Solution
摘要: 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。
Abstract: 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 to a STVDE with Poisson jump is obtained.
文章引用：李光洁. 带Poisson跳的随机时变时滞微分方程全局解的存在性[J]. 理论数学, 2024, 14(8): 172-179. https://doi.org/10.12677/PM.2024.148315

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