一类总量依赖型竹林发展系统的古典解 |
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引用本文: | 葛晓莉,邵翠,徐龙封. 一类总量依赖型竹林发展系统的古典解[J]. 安徽工业大学学报, 2014, 0(2): 203-208 |
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作者姓名: | 葛晓莉 邵翠 徐龙封 |
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作者单位: | [1]安徽工业大学数理学院,安徽马鞍山243032 [2]安徽工业大学工商学院,安徽马鞍山243032 |
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基金项目: | 国家天元基金项目(2012SQRL039ZD);安徽省教育厅质量工程项目(2012gxk189) |
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摘 要: | 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。
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关 键 词: | 二维竹林发展系统 特征线 古典解 积分方程 |
Classical Solution to a Two-dimensional Dynamics System of Pure Forest Depending on Total Quantity |
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Affiliation: | GE Xiaoli, SHAO Cui, XUE Longfeng (a. School of Mathematics & Physics; b. Industrial & Commercial College, Anhui University of Technology, Ma'anshan 243032, China) |
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Abstract: | 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. |
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Keywords: | two-dimensional bamboo development systems characteristic line classical solution integral equation |
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