| 二阶两点边值问题3个解的存在性 |
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| 引用本文： | 李芳菲,贾梅,李春岭,李高尚.二阶两点边值问题3个解的存在性[J].上海理工大学学报,2006,28(6):553-557. |
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| 作者姓名： | 李芳菲 贾梅 李春岭 李高尚 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 基金项目： | 上海市教委科研基金资助项目(05EZ52) |
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| 摘 要： | 研究了一类非齐次边界条件下的二阶常微分方程两点边值问题的3个解的存在性,应用上下解方法和Leray Schauder度理论得到了该问题的3个解存在的充分条件.作为定理的应用,讨论了一个具体的二阶两点边值问题3个解的存在性.
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| 关 键 词： | 上下解 Leray-Schauder度 Nagumo条件 多解 |
| 文章编号： | 1007-6735（2006）06-0553-05 |
| 收稿时间： | 2006-01-09 |
| 修稿时间： | 2006年1月9日 |
Existence of at least three solutions of second-order two-point boundary value problem |
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| Li Fang-fei,Jia Mei,Li Chun-ling,Li Gao-shang.Existence of at least three solutions of second-order two-point boundary value problem[J].Journal of University of Shanghai For Science and Technology,2006,28(6):553-557. |
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| Authors: | Li Fang-fei Jia Mei Li Chun-ling Li Gao-shang |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | The existence of at least three solutions of second-order twopoint boundary value problem is studied and the sufficient conditions of the existence of at least three solutions by use of upper and lower solution method and Leray-Schauder degree theory are provided.For application,the existence of at least three solutions of a specific second-order two-point boundary value problem is discussed. |
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| Keywords: | upper and lower solutions Leray-Schauder degree Nagumo condition multiple solutions |
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