| 非线性周期边值问题的单调方法 |
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| 引用本文： | 王明新.非线性周期边值问题的单调方法[J].北京理工大学学报,1989,9(4):74-81. |
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| 作者姓名： | 王明新 |
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| 作者单位： | 北京理工大学应用数学系 |
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| 摘 要： | 用上、下解方法证明了一类二阶非线性方程组周期边值问题解的存在性,并给出迭代格式,为解的近似计算提供算法。在某种意义下为求反应扩散方程的周期行波解提供一种方法。
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| 关 键 词： | 边值问题 周期解 单调方法 上下解 |
MONOTONE METHOD FOR NONLINEAR PERIODIC BOUNDARY VALUE PROBLEMS |
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| Wang Mingxin.MONOTONE METHOD FOR NONLINEAR PERIODIC BOUNDARY VALUE PROBLEMS[J].Journal of Beijing Institute of Technology(Natural Science Edition),1989,9(4):74-81. |
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| Authors: | Wang Mingxin |
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| Institution: | Department of Applied Mathematics |
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| Abstract: | The existence of solutions for a class of second order nonlinear periodic boundary value problems using the upper and lower solution method is discussed . One iterative format is given for the calculation of approximate solutions . And monotone method is given for solving the periodic travelling wave solutions of reaction - diffusion systems . |
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| Keywords: | boundary -value problem periodic solutions /upper and lower solution monotone method |
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