| 一类四阶奇异边值问题多重正解的存在性 |
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| 引用本文： | 郭志浩,宋常修. 一类四阶奇异边值问题多重正解的存在性[J]. 大学数学, 2007, 23(3): 48-53 |
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| 作者姓名： | 郭志浩 宋常修 |
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| 作者单位： | 广东药学院,数学教研室,广州,510006;广东工业大学,应用数学学院,广州,510006 |
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| 基金项目： | 广东省自然科学基金资助项目(011471) |
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| 摘 要： | 利用不动点定理研究了奇异四阶边值问题u(4)(t)=φ(t)f(u(t)),t∈(0,1),u(0)=u′(0)=u″(1)=u(1)=0多重正解的存在性.
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| 关 键 词： | 四阶边值问题 奇异 正解 不动点 |
| 文章编号： | 1672-1454（2007）03-0048-06 |
| 修稿时间： | 2005-10-06 |
Positive Solution and Multiple Positive Solutions of Fourth-Order Singular Boundary Value Problems |
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| GUO Zhi-hao,SONG Chang-xiu. Positive Solution and Multiple Positive Solutions of Fourth-Order Singular Boundary Value Problems[J]. College Mathematics, 2007, 23(3): 48-53 |
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| Authors: | GUO Zhi-hao SONG Chang-xiu |
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| Affiliation: | 1. Department of Mathematics, Guangdong Pharmaceutical University, Guangzhou 510006, China; 2. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510006, China |
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| Abstract: | The existence of multiple positive solutions of fourth-order singular boundary value problemu(4)(t)=φ(t)f(u(t)),t∈(0,1),u(0)=u′(0)=u″(1)=u(1)=0is discussed. |
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| Keywords: | fourth-order boundary value problem singular positive solution fixed point |
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