带Markov切换Poisson跳的非线性随机时滞微分方程解的矩有界性

Moment Boundedness of Solutions to Nonlinear Stochastic Delay Differential Equations with Markovian Switching and Poisson Jumps

研究了一类带Markov切换Poisson跳的非线性随机时滞微分方程解的矩有界性。首先,证明了该方程解的存在唯一性;其次,利用随机分析和不等式技巧得到了该方程的解是矩有界的。

This paper investigates the moment boundedness of the solutions to nonlinear stochastic delay differential equations with Markovian switching and Poisson jumps. It is first proved the existence and uniqueness of the solution for such an equation. By using stochastic analysis and inequality techniques, it is then obtained that the solution is moment bounded.