| 高阶线性微分方程解的存在与唯一性 |
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| 引用本文： | 皇甫红琴,司清亮.高阶线性微分方程解的存在与唯一性[J].新乡学院学报(自然科学版),2009,26(3):8-10. |
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| 作者姓名： | 皇甫红琴 司清亮 |
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| 作者单位： | 武汉城市职业学院数学系,湖北,武汉,430064;焦作师范高等专科学校数学系,河南,焦作,454000 |
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| 摘 要： | 用逐步逼近法和泛函分析中的压缩映射原理方法证明了高阶线性常微分方程柯西问题的解是存在并唯一的。
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| 关 键 词： | 二阶线性常微分方程 存在性与唯一性 逐步逼近法 压缩映射原理 |
Existence and Uniqueness of Solutions to Higher-order Linear Ordinary Differential Equations |
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| Authors: | HUANGFU Hong-qin SI Qing-liang |
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| Institution: | HUANGFU Hong-qin,SI Qing-liang (1. Department of Mathematics, Wuhan City Vocational College, Wuhan 430064, China; 2. Department of Mathematics, Jiaozuo Teachers College, Jiaozuo 454000, China) |
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| Abstract: | In this paper, we prove the existence and uniqueness of solutions to higher-order linear ordinary differential equations by using two methods, that is the approximate method and compression mapping principle. |
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| Keywords: | 2-order linear ordinary differential equations existence and uniqueness approximate method compression mapping principle |
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