| 奇异非自治三阶两点边值问题的正解存在性 |
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| 引用本文： | 姚庆六.奇异非自治三阶两点边值问题的正解存在性[J].山东大学学报(理学版),2012,47(6):10-15. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系,江苏南京,210003 |
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| 基金项目： | 国家自然科学基金资助项目(11071109) |
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| 摘 要： | 研究一类非自治非线性三阶两点边值问题的正解,其中允许非线性项关于时间变元和空间变元为奇异的。通过构造适当的控制函数并且利用锥上的Guo-Krasnosel’skii不动点定理建立了一个正解存在定理。
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| 关 键 词： | 奇异常微分方程 非自治边值问题 正解 存在性 |
Existence of a positive solution of singular nonautonomous third-order two-point boundary value problems |
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| YAO Qing-liu.Existence of a positive solution of singular nonautonomous third-order two-point boundary value problems[J].Journal of Shandong University,2012,47(6):10-15. |
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| Authors: | YAO Qing-liu |
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| Institution: | YAO Qing-liu(Department of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210003,Jiangsu,China) |
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| Abstract: | The positive solution of a class of nonautonomous nonlinear third-order two-point boundary value problems is studied,where the nonlinear term is allowed to be singular with respect to the time and space variables.By constructing suitable dominated functions and applying Guo-Krasnosel’skii fixed point theorem on a cone,an existence theorem of a positive solution is established. |
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| Keywords: | singular ordinary differential equation nonautonomous boundary value problem positive solution existence |
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