论文标题

关于由G-Lévy过程驱动的随机功能微分方程的解决方案解决方案解决方案的实质性和指数估计值

On the existence-uniqueness and exponential estimate for solutions to stochastic functional differential equations driven by G-Lévy process

论文作者

Faizullah, Faiz, Farooq, Muhammad, Rana, MA, Ullah, Rahman

论文摘要

对随机动态系统解决方案的存在 - 唯一理论始终是一个重要的主题,并受到了极大的关注。本文的目的是研究由G-Lévy过程驱动的随机功能微分方程(SFDE)的提到的理论。已经确定了由G-Lévy过程驱动的SFDE解决方案的存在定理。已经显示了精确解决方案和PICARD近似解决方案之间的误差估计。另外,已经得出了指数估计。

The existence-uniqueness theory for solutions to stochastic dynamic systems is always a significant theme and has received a huge attention. The objective of this article is to study the mentioned theory for stochastic functional differential equations (SFDEs) driven by G-Lévy process. The existence-uniqueness theorem for solutions to SFDEs driven by G-Lévy process has been determined. The error estimation between the exact solution and Picard approximate solutions has been shown. In addition, the exponential estimate has been derived.

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