根据Gronwall和BarkholderDavisGundy引理,采用显式Euler方法讨论了,Hilbert空间的带PoissOn跳的随机森林发展系统解的存在性和唯一性,给出了一类带Poisson跳随机森林发展系统数值解的存在及唯一性的充分条件.
A class of random forest with Poisson jump development system is discussed in this paper. Firstly the system's numerical solution is existed and uniquened according to the Euler numerical method. Then the existence and uniqueness are discussed in Hilbert space of random forests development system by Gronwall and Barkholder-Davis-Gundy lemma. At last the existence and uniquenes's sufficient condition of numerical solution is obtained.