关键词: 二维系统, 特征线, 古典解, 积分方程

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.

Key words: two-dimensional systems, characteristic line, classical solution, integral equation