| 时标上二阶周期边值问题解的存在性 |
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| 引用本文： | 崔学英.时标上二阶周期边值问题解的存在性[J].太原重型机械学院学报,2009(3):248-250. |
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| 作者姓名： | 崔学英 |
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| 作者单位： | 太原科技大学应用科学学院,太原030024 |
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| 摘 要： | 研究了时标上二阶周期边值问题极值解的存在性。利用直接分析法得到了一个比较性结果，应用此结果和单调迭代技术得到周期边值问题存在极大解和极小解的充分条件。特别地，所得结果推广了一些已有的结论。
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| 关 键 词： | 时标 周期边值问题 上下解 单调迭代技术 |
Existence of Solutions of Second-order Periodic Boundary Value Problems on Time Scales |
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| CUI Xue-ying.Existence of Solutions of Second-order Periodic Boundary Value Problems on Time Scales[J].Journal of Taiyuan Heavy Machinery Institute,2009(3):248-250. |
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| Authors: | CUI Xue-ying |
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| Affiliation: | CUI Xue-ying (School of Applied Science, Taiyuan university of science and technology, Taiyuan 030024, China) |
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| Abstract: | In this paper, the author proves a new comparison result and develops the monotone iterative technique to show the existence of extremal solutions of periodic boundary value problems for second-order nonlinear differential equations on time scales. The obtained results generalize some known results. |
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| Keywords: | time scales periodic boundary value problems upper and lower solution monotonic iterative technique |
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