人口随机系统强解的存在唯一性  

Existence and Uniqueness of Strong Solution for Stochastic Age-dependent Population

作　　者：严燕[1] 秦衍[1] 夏宁茂[1] 

机构地区：[1]华东理工大学数学系,上海200237

出　　处：《山西大学学报（自然科学版）》2008年第3期453-458,共6页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(10771066)

摘　　要：文章在更一般的条件下讨论一类与年龄相关的人口随机系统.在方程系数所满足的非Lipschitz条件还含有与时间相关系数的条件下,通过一系列逼近方程证明了系统的强解的存在唯一性.证明过程中主要应用了随机泛函方程的理论,Bihari不等式和Burkholder-Davis-Gundy’s不等式.A class of stochastic age-dependent population dynamic system is discussed in a general case. By successive approximations of solutions in a general functional setting, the existence and uniqueness of solution for stochastic age-dependent population dynamic system are proved under non-Lipschitz condition, which depends on time. The main tools are the theory of stochastic functional differential equation, the Bihari inequality and the Burkholder-Davis-Gundy＇s inequality.

关 键 词：存在性 唯一性 随机人口系统 非LIPSCHITZ条件 

分 类 号：O175.22[理学—数学] O211.63[理学—基础数学]