| Banach空间中含有间断项的一阶周期边值问题整体解的存在唯一性 |
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| 引用本文： | 王仲平,李旭东. Banach空间中含有间断项的一阶周期边值问题整体解的存在唯一性[J]. 兰州交通大学学报, 2009, 28(1): 161-164 |
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| 作者姓名： | 王仲平 李旭东 |
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| 作者单位： | 兰州交通大学数理与软件工程学院,甘肃,兰州,730070;兰州城市学院数学系,甘肃,兰州,730070 |
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| 摘 要： | 利用半序方法,只用上解或下解得到Banach空间中含有间断项的常微分方程一阶周期边值问题在[0,a]（a〉0）上整体解的两个存在唯一性结果,这两个结果是独立的新结论．
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| 关 键 词： | 非紧性测度 周期边值问题 不连续微分方程 整体解 |
Existence and Uniqueness of Global Solutions for the First Order Periodic Boundary Value Problems of Discontinuous Equations in Banach Spaces |
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| WANG Zhong-ping,LI Xu-dong. Existence and Uniqueness of Global Solutions for the First Order Periodic Boundary Value Problems of Discontinuous Equations in Banach Spaces[J]. Journal of Lanzhou Jiaotong University, 2009, 28(1): 161-164 |
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| Authors: | WANG Zhong-ping LI Xu-dong |
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| Affiliation: | 1.School of Mathematics;Physics and Software Engineering;Lanzhou Jiaotong University;Lanzhou 730070;China;2.Department of Mathematics;Lanzhou City University;China |
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| Abstract: | Using the theory of cones and the partial-ordered method with upper solution or lower solution,we investigate the existence and uniqueness of global solutions on interval (0>a)for the first order periodic boundary value problem of discontinuous ordinary differential equations in Banach space.Two existence and uniqueness results are obtained.The results are new and independent of other known results. |
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| Keywords: | no-compactness measure periodic value boundary problem discontinuous differential equation global solution |
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