带有马尔科夫调制和非Lipschitz系数的随机种群方程的数值解(英文)  

Numerical Solutions of Stochastic Age-Dependent Population Equations with Markovian Switching and Non-Lipschitz Coefficients

作　　者：毛伟[1] 

机构地区：[1]江苏第二师范学院数学与信息技术学院

出　　处：《生物数学学报》2014年第1期45-53,共9页Journal of Biomathematics

基　　金：Qing Lan Project of Jiangsu Province(2012);NNSF of China(11071037,11102076);The NSF of Higher Education Institutions of Jiangsu Province(13KJB110005);The Grant of Jiangsu Second Normal University(Jsie2011zd04;JSNU-ZY-02);The Jiangsu Government Overseas Study Scholarship

摘　　要：减弱文[1]中的Lipschitz条件,在非Lipschitz条件下,我们证明了方程(1)中的Euler数值解收敛于精确解.从而推广和改进了某些结果.In this paper,we relax the global Lipschitz conditions which imposed on[1]and prove that the Euler approximate solutions converge to the exact solutions of Eq.(1) under non-lipschitz condition.Some known results are generalized and improved.

关 键 词：随机种群方程 马尔科夫调制 数值解 非Lipschitz系数 

分 类 号：O241.8[理学—计算数学]