文献类型：会议论文

中文题名：Existence and Uniqueness for a Stochastic Age-dependent Population System with Diffusion Under non-Lipschitz Condition

作者：Aihong Lin;Yan Qin;Hui Li

机构：[1]Department of Mathematics, East China University of Science & Technology, Shanghai 200237, China;[2]Department of Mathematics, East China University of Science & Technology, Shanghai 200237, China Dep;

会议论文集：2010 International Conference on Probability and Statistics of the International Institute for General Systems Studies(国际一般系统理论研究会中国概率统计学会第二届学术会议IIGSS-CPS2010)论文集

会议日期：20100729

会议地点：南京

主办单位：中国概率统计学会

语种：英文

中文关键词：Existence;Uniqueness;Stochastic population system;Non-Lipschitz

摘要：In this paper, we study a class of stochastic agedependent population dynamic system with diffusion, which coefficient is non-Lipschitzian with respect to the population density P. By successive approximation of solutions in a general functional setting, using the Bihari inequality and the Davis inequality, we prove the existence and uniqueness of solutions for a stochastic age-dependent population dynamic system in Hilbert space.