中山大学学报（自然科学版）2011，Vol.50Issue(4)：28-31,36,5.
一个二维纯林发展系统的古典解
Classical Solution of a Two-Dimensional Dynamics System for Pure Forest
摘要
Abstract
The research of two-dimensional forest dynamics system model is still open. First, for the peculiarity of two-dimensional forest dynamics systems with initial state depending only on total quantity of forest, and boundary condition depending only on initial state again, boundary of system not satisfying one of 3 kinds common conditions, by introducing a class of special family curves in presence region of " stand age-diameter", the problem of boundary conditions is avoided. Secondly, using the technique of selecting measure dimension of lumber diameter properly, a well-posed two-dimensional forest dynamics system model is propounded. At last, colligating the technique of pulling characteristic curve, a prior estimate, structuring integral equation of initial state, iteration, the existence and uniqueness of the global classical solution are proved for this system.关键词
二维系统/特征线/古典解/积分方程Key words
two-dimensional systems/ characteristic line/ classical solution/ integral equation分类
数理科学引用本文复制引用
徐龙封,吴慧..一个二维纯林发展系统的古典解[J].中山大学学报（自然科学版）,2011,50(4):28-31,36,5.基金项目
国家自然科学基金资助项目(90410011) （90410011）
安徽省教育厅重点自然科学基金资助项目(KJ2010A043) （KJ2010A043）
安徽工业大学研究生创新研究基金资助项目 （）
