| 时间模上一阶周期边值问题的单调迭代方法 |
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| 引用本文： | 崔学英,师向云.时间模上一阶周期边值问题的单调迭代方法[J].太原科技大学学报,2007,28(6):476-478. |
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| 作者姓名： | 崔学英 师向云 |
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| 作者单位： | 1. 太原科技大学,太原,030024
2. 信阳师范学院,河南,信阳464000 |
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| 摘 要： | 考虑了时间模上一阶周期边值问题，运用上下解方法和单调迭代方法得出了此边值问题存在极值解的充分条件，所谓时间模T是实数集上一个非空子集，当时间模为R时，此结果为一个新结果。
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| 关 键 词： | 时间模 周期边值问题 上下解 单调迭代方法 |
| 文章编号： | 1673-2057（2007）06-0476-03 |
| 收稿时间： | 2007-03-12 |
| 修稿时间： | 2007年3月12日 |
Monotone Iterative Method for the First-order Periodic Boundary Value Problems on Time Scales |
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| CUI Xue-ying,SHI Xiang-yun.Monotone Iterative Method for the First-order Periodic Boundary Value Problems on Time Scales[J].Journal of Taiyuan University of Science and Technology,2007,28(6):476-478. |
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| Authors: | CUI Xue-ying SHI Xiang-yun |
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| Abstract: | Considering first-order periodic boundary value problems on time scales, the authors have obtained the sufficient conditions for the existence of extremal solutions by employing the approaches for upper and lower solutions and monotone iterative method. A time scale T is an arbitrary nonempty cosed subset of the real numbers. The finding in this paper is new when T = R . |
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| Keywords: | time scales periodic boundary value problems upper and lower solutions monotone iterative method |
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