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

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.

关键词： Existence Uniqueness Stochastic population system Non-Lipschitz

作者: Yan Qin Hui Li Aihong Lin

作者单位: Department of Mathematics, East China University of Science & Technology, Shanghai 200237, China Department of Mathematics, East China University of Science & Technology, Shanghai 200237, China Dep

会议类型: 国际会议

会议名称: 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)

会议地点: 南京

会议语种:英文

页码: 91-96

在线出版日期: 2010-07-29（万方平台首次上网日期，不代表论文的发表时间）