| 抽象二阶周期边值问题的上、下解方法 |
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| 引用本文： | 李永祥.抽象二阶周期边值问题的上、下解方法[J].西北师范大学学报,1999,35(4):1-8. |
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| 作者姓名： | 李永祥 |
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| 作者单位： | 西北师范大学数学系!甘肃兰州730070 |
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| 基金项目： | 国家自然科学基金，甘肃省教委科研基金 |
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| 摘 要： | 用上、下解方法研究了有序Ｂａｎａｃｈ 空间二阶微分方程周期边值问题解的存在性． 利用一个新建立的比较原理， 减弱了上、下解通常要求的边界条件． 所得结果改进和推广了一些已有结论
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| 关 键 词： | 二阶微分方程 周期边值问题 正规锥 上解 下解 |
| 文章编号： | 1001-988Ⅹ(1999)04-0001-08 |
| 修稿时间： | 1998-11-22 |
The method of lower and upper solutions for abstract second order periodic boundary value problems |
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| LI Yong-xiang.The method of lower and upper solutions for abstract second order periodic boundary value problems[J].Journal of Northwest Normal University Natural Science (Bimonthly),1999,35(4):1-8. |
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| Authors: | LI Yong-xiang |
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| Abstract: | The existence of solutions of periodic boundary value problems for second order differential equations in orderd Banach spaces is discussed by using the method of lower and upper solutions.The boundary conditions,which have been commonly required,of the lower and upper solutions with a new comparison lemma are weakened.The results improve and extend the relevent conclusions in early times. |
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| Keywords: | second order differential equation periodic boundary value problem normal cone upper solution lower solution |
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