| Banach空间中二阶微分方程的周期边值问题 |
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| 引用本文： | 周友明. Banach空间中二阶微分方程的周期边值问题[J]. 应用数学学报, 2006, 29(3): 436-444 |
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| 作者姓名： | 周友明 |
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| 作者单位： | 江苏技术师范学院基础部,常州,213015 |
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| 基金项目： | 江苏省"青蓝工程"专项基金;江苏省教育厅自然科学基金 |
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| 摘 要： | 本文在Banach空间中研究了二阶非线性微分方程的周期边值问题:-u″=f(t,u),u(0)= u(2π),u′(0)=u′,(2π)在上下解反向给定时,利用半序理论和新的比较原理,证明了该周期边值问题最小解和最大解的存在性,解的唯—性,并给出了唯一解的近似迭代序列的误差估计式．
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| 关 键 词： | Banach空间 周期边值问题 反向上下解 |
| 收稿时间： | 2004-04-25 |
| 修稿时间： | 2004-04-25 |
Periodic Boundary Value Problems for Second Order Differential Equations in Banach Spaces |
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| ZHOU YOUMING. Periodic Boundary Value Problems for Second Order Differential Equations in Banach Spaces[J]. Acta Mathematicae Applicatae Sinica, 2006, 29(3): 436-444 |
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| Authors: | ZHOU YOUMING |
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| Affiliation: | Department of Basic Science, Jiangsu Teachers University of Technology, Changzhou 213015 |
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| Abstract: | In the paper, by the use of the order method and new comparison principles, the author studies the existence of minimal and maximal solutions, the unique solution for the periodic boundary value problems of second order differential equations in Banach spaces, where the problems have upper and lower solutions in the reversed order. |
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| Keywords: | Banach spaces periodic boundary value problems upper and lower solutions in the reversed order |
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