| 无穷区间上非线性微分方程单调正解的存在唯一性 |
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| 引用本文： | 孙彦,徐本龙,刘立山.无穷区间上非线性微分方程单调正解的存在唯一性[J].应用数学学报,2006,29(5):866-871. |
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| 作者姓名： | 孙彦 徐本龙 刘立山 |
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| 作者单位： | 1. 上海师范大学数理信息学院,上海,200234
2. 曲阜师范大学数学系,曲阜,273165 |
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| 基金项目： | 国家自然科学基金;山东省自然科学基金 |
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| 摘 要： | 本文利用构造新范数的技巧,研究了无穷区间上非线性微分方程单调有界正解的存在唯一性,并通过简洁的例子说明了本文结果的有效性．
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| 关 键 词： | 不动点 单调正解 存在唯—性 |
| 收稿时间： | 2004-01-31 |
| 修稿时间： | 2004-01-312005-01-18 |
Existence of Unique Positive Monotone Solution for Nonlinear Differential Equations on Infinite Interval |
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| SUN YAN,XU BENLONG,LIU LISHAN.Existence of Unique Positive Monotone Solution for Nonlinear Differential Equations on Infinite Interval[J].Acta Mathematicae Applicatae Sinica,2006,29(5):866-871. |
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| Authors: | SUN YAN XU BENLONG LIU LISHAN |
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| Institution: | 1.Department of Mathematics, Shanghai Normal University, Shanghai 200234;2.Department of Mathematics, Qufu Normal University, Qufu 273165 |
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| Abstract: | In this paper, by constructing new norm technique, the existence of bounded unique positive monotone solution for nonlinear differential equations on infinite interval is established. Examples are given to show the effectiveness of the results obtained in this paper. |
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| Keywords: | fixed point monotone positive solution existence and uniqueness |
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