非Lipschitz条件下Levy过程驱动的混合种群方程的近似解  

Approximate solutions of hybrid age-dependent population equations driven by Levy process under non-Lipschitz condition

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,江苏南京210013

出　　处：《兰州理工大学学报》2013年第4期143-149,共7页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11102076,11202085);江苏省高校自然科学研究项目(13KJB110005);院级课题(Jsie2011zd04);江苏省青蓝工程;江苏省政府留学奖学金的资助

摘　　要：研究Levy过程扰动的混合种群方程的Euler近似解,在非Lipschitz条件下证明Euler近似解L2意义下收敛于解析解,从而推广已有的某些结果.Euler approximate solutions of hybrid age-dependent population equations with Levy process disturbance were studied and it was proved that the Euler approximate solutions would converge to the analytical solutions in L2 sense under non-Lipschitz condition, so that some known results were generalized.

关 键 词：混合种群方程 Levy跳 Euler近似解 非LIPSCHITZ条件 

分 类 号：O241.5[理学—计算数学]