| 奇异二阶方程组两个正解的存在性 |
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| 引用本文： | 千美华,从福仲,许晓婕.奇异二阶方程组两个正解的存在性[J].吉林大学学报(理学版),2010,48(5):755-760. |
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| 作者姓名： | 千美华 从福仲 许晓婕 |
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| 作者单位： | 1. 吉林省教育学院, 长春 130020,2. 空军航空大学 基础部, 长春 130022;3. 吉林大学 数学研究所, 长春 130012,4. 中国石油大学（华东） 应用数学系, 山东 东营 257061 |
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| 摘 要： | 用Leray-Schauder非线性抉择和更一般的锥不动点定理研究奇异二阶方程组边值问题两个正解的存在性,给出了正解存在的充分条件,并举例说明了所得结果。
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| 关 键 词： | 两点边值问题 两个正解 Leray Schauder非线性抉择 锥不动点定理 方程组 |
| 收稿时间： | 2009-12-03 |
Existence of Twin Positive Solutions for Singular Second Order Differential Systems |
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| QIAN Mei-hua,CONG Fu-zhong,XU Xiao-jie.Existence of Twin Positive Solutions for Singular Second Order Differential Systems[J].Journal of Jilin University: Sci Ed,2010,48(5):755-760. |
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| Authors: | QIAN Mei-hua CONG Fu-zhong XU Xiao-jie |
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| Institution: | 1. Jilin |Provincial Institute of Education, Changchun 130020, China;2. Department of Foundation, Aviation University of Air Force, Changchun 130022, China;3. Institute of Mathematics, Jilin University, Changchun 130012, China|4. Department of Applied Mathematics,China University of Petroleum (East China), Dongying 257061, Shandong Province, China |
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| Abstract: | We investigated the existence of two positive solutions to singular boundary value problems using Leray Schauder alter
native theorem and other fixed point theorems in cones, obtained its sufficient conditions and gave an example to explain our results. |
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| Keywords: | two point boundary problems twin positive solutions Leray Schauder alternative fixed point theorems differential systems |
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