| 二阶时滞微分方程边值问题的上下解方法 |
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| 引用本文： | 王宏洲,Richard M. TIMONEY. 二阶时滞微分方程边值问题的上下解方法[J]. 数学学报, 2010, 53(3): 489-494 |
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| 作者姓名： | 王宏洲 Richard M. TIMONEY |
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| 作者单位： | 北京理工大学数学系;School;Mathematics;Trinity;College;Dublin;Ireland; |
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| 基金项目： | 国家自然科学基金资助项目(10671012) |
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| 摘 要： | 主要利用上下解方法和Schauder不动点定理,研究一类二阶时滞微分方程边值问题的正解存在性.为了验证结论的正确性,本文在结尾部分给出了两个例子.
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| 关 键 词： | 边值问题 时滞 上下解 |
| 收稿时间： | 2008-11-18 |
| 修稿时间： | 2009-10-27 |
Upper and Lower Solutions Method for Second Order Boundary Value Problems with Delay |
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| Hong Zhou WANG. Upper and Lower Solutions Method for Second Order Boundary Value Problems with Delay[J]. Acta Mathematica Sinica, 2010, 53(3): 489-494 |
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| Authors: | Hong Zhou WANG |
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| Affiliation: | 1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China;
2. School of Mathematics, Trinity College Dublin, Dublin, Ireland |
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| Abstract: | We consider the existence of positive solutions for a class of second order boundary value problems with delay.By using upper and lower solutions method and Schauder fixed point theorem,we obtain some existence results of positive solutions. The results are illustrated with some examples. |
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| Keywords: | boundary value problem delay upper and lower solutions |
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