一类总量依赖型竹林发展系统的古典解

针对竹林发展系统边界不满足通常的三类条件的问题,采用在"竹龄-直径"存在区域内引进一类特殊的曲线族的方法,以避开边界条件问题;通过对竹子直径尺度量纲的适当选择,提出了一类总量依赖型二维竹林发展系统模型,并综合作特征线、先验估计、构造初始状态积分方程、迭代等手段证明了该系统整体古典解的存在唯一性。

Classical Solution to a Two-dimensional Dynamics System of Pure Forest Depending on Total Quantity

For the problems of bamboo development systems, of which boundary cannot satisfy 3 kinds common conditions, the boundary conditions is avoided by introducing class of special curve family into the present region of ＂stand age-diameter＂. With the technique of selecting measure dimension of lumber diameter properly, a well-posed two-dimensional bamboo forest dynamics system model is proposed, and the existence and uniqueness of the global classical solution are proved by colligating the technique of pulling characteristic curve, a prior estimate, structuring integral equation of initial state, iteration.