| Banach空间中二阶非线性常微分方程周期边值问题 |
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| 引用本文： | 李相锋.Banach空间中二阶非线性常微分方程周期边值问题[J].应用泛函分析学报,2008,10(1):92-96. |
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| 作者姓名： | 李相锋 |
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| 作者单位： | 陇东学院数学系,甘肃,庆阳,745000 |
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| 基金项目： | 甘肃省高校研究生导师科研项目
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陇东学院校科研和教改项目 |
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| 摘 要： | 在Banach空间中利用上下解方法与增算子不动点定理，研究了含间断项的二阶非线性常微分方程周期边值问题的最大解、最小解的存在性，推广和改进了现有的结果．
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| 关 键 词： | Banach空间 上下解 增算子不动点定理 周期边值问题 |
| 文章编号： | 1009-1327(2008)01-0092-05 |
| 修稿时间： | 2006年11月10 |
Periodic Boundary Value Problem for Second Order Nonlinear Ordinary Differential Equation in Banach Space |
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| LI Xiang-feng.Periodic Boundary Value Problem for Second Order Nonlinear Ordinary Differential Equation in Banach Space[J].Acta Analysis Functionalis Applicata,2008,10(1):92-96. |
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| Authors: | LI Xiang-feng |
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| Institution: | LI Xiang-feng( Department of Mathematics, Longdong University, Qingyang Gansu 745000, China) |
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| Abstract: | This paper investigates the existence of maximal and minimal solution of the periodic boundary problem in Banach spaces for nonlinear second order ordinary differential equation with discontinuous terms , by using upper and lower solution and fixed point theorem for increasing operators. Moreover, we extend and improve some recent results. |
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| Keywords: | Banach space upper and lower solution fixed point theorem for increasing operatorsperiodic boundary value problem |
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