| 一类时滞微分方程周期边值问题及其最大最小解 |
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| 引用本文： | 祁英华,祁爱琴. 一类时滞微分方程周期边值问题及其最大最小解[J]. 山东大学学报(理学版), 2007, 42(7): 66-71 |
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| 作者姓名： | 祁英华 祁爱琴 |
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| 作者单位： | 滨州职业学院,山东,滨州,256603;滨州医学院,山东,滨州,256600 |
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| 摘 要： | 将上下解方法与单调迭代技巧应用于研究一类时滞微分方程，在正向及反向上下解两种情形下分别讨论了该类方程周期边值问题最大最小解的存在性.
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| 关 键 词： | 上、下解 比较定理 周期边值问题 最大、最小解 |
| 文章编号： | 1671-9352（2007）07-0066-06 |
| 修稿时间： | 2006-07-19 |
Periodic boundary value problems for differential equations with arguments |
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| QI Ying-hua,QI Ai-qin. Periodic boundary value problems for differential equations with arguments[J]. Journal of Shandong University, 2007, 42(7): 66-71 |
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| Authors: | QI Ying-hua QI Ai-qin |
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| Affiliation: | 1. Binzhou Vocational College, Binzhou 256603, Shandong, China; 2. Binzhou Medical College, Binzhou 256600, Shandong, China |
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| Abstract: | The existence of maximal and minimal solutions for periodic boundary value problems involving nonlinear differential equations with arguments is studied by establishing the new comparison inequalities with lower and upper solutions in both formal and reverse order. |
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| Keywords: | upper and lower solution comparison inequality periodic boundary value problem maximal and minimal solutions |
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