| 二阶微分方程周期边值问题的反序上下解方法 |
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| 引用本文： | 张玲忠. 二阶微分方程周期边值问题的反序上下解方法[J]. 甘肃农业大学学报, 2003, 38(3): 304-307 |
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| 作者姓名： | 张玲忠 |
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| 作者单位： | 西北师范大学数学与信息科学学院,兰州,730070;甘肃农业大学基础科学系,兰州,730070 |
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| 摘 要： | 利用反序极大值原理与反序上下解单调迭代方法,研究了二阶微分方程周期边值问题解的存在性,并获得其存在性结果。
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| 关 键 词： | 二阶微分方程 周期边值问题 上解 下解 单调迭代方法 |
| 文章编号： | 1003-4315(2003)03-0304-04 |
Method of upper and lower solutions in the reversed order of periodic boundary value problems for second order differential equations |
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| ZHANG Ling-zhong. Method of upper and lower solutions in the reversed order of periodic boundary value problems for second order differential equations[J]. Journal of Gansu Agricultural University, 2003, 38(3): 304-307 |
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| Authors: | ZHANG Ling-zhong |
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| Affiliation: | ZHANG Ling-zhong1,2 |
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| Abstract: | The existence of solutions for second order of differential equations of periodic boundary value problems is discussed. The anti-maximum principle and the monotone iterative method in case lower and upper solutions in the reversed order are applied to these problems and some existence results are obtained. |
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| Keywords: | second order defferential equations periodic boundary value problem upper solutions lower solutions monotone iterative technique |
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