| 一阶常微分方程周期边值问题的拟上下解方法 |
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| 引用本文： | 张骞.一阶常微分方程周期边值问题的拟上下解方法[J].江汉大学学报(自然科学版),2010,38(4):9-11. |
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| 作者姓名： | 张骞 |
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| 作者单位： | 陇东学院数学系; |
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| 摘 要： | 给出了一阶常微分方程周期边值问题的拟上下解概念,并得到了最大、最小拟解的存在性以及任一拟解对的单调迭代序列.
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| 关 键 词： | 周期边值 拟上下解 单调迭代 |
A Method of Quasi-Upper and Lower Solutions for Periodic Boundary Value Problems of One-order Ordinary Differential Equation |
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| ZHANG Qian.A Method of Quasi-Upper and Lower Solutions for Periodic Boundary Value Problems of One-order Ordinary Differential Equation[J].Journal of Jianghan University:Natural Sciences,2010,38(4):9-11. |
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| Authors: | ZHANG Qian |
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| Institution: | ZHANG Qian(Department of Mathematics,Longdong University,Qingyang 745000,Gansu,China) |
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| Abstract: | The concept of quasi-upper and lower solutions is given for the periodic boundary value problem of one-order ordinary differential equation.The existence of the minimal and maximal quasi-solutions and the monotone iterative sequences of any coupled quasi-solutions are obtained. |
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| Keywords: | periodic boundary value quasi-upper and lower solutions monotone iteration |
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