| 四阶微分方程的周期解 |
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| 引用本文： | 王怀忠.四阶微分方程的周期解[J].吉林大学学报(理学版),1993(4). |
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| 作者姓名： | 王怀忠 |
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| 作者单位： | 吉林大学数学系 长春 |
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| 摘 要： | 本文用上下解方法与单调迭代方法相结合证明了四阶微分方程周期边值问题解的存在性,将上下解作为初始迭代函数,经过单调迭代得到了两个单调函数序列,这两个函数序列的极限就是周期边值问题的最大解和最小解.
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| 关 键 词： | 四阶微分方程 上下解方法 周期边值问题 |
Periodic Solutions of Four-Order Differential Equations |
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| Wang Huaizhong.Periodic Solutions of Four-Order Differential Equations[J].Journal of Jilin University: Sci Ed,1993(4). |
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| Authors: | Wang Huaizhong |
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| Abstract: | The present paper introduces the concept of upper and lower solutions for four-order periodic boundary value problems. We investigated the existence of solutions for periodic boundary value problems of four-order ordinary differential equations by means of the monotone iterative method and obtained the extremal solutions as limits of monotone sequences. |
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| Keywords: | four-order differential equations lower and upper solution method periodic boundary value problems |
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