| 四阶奇异边值问题两个正解的存在性 |
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| 引用本文： | 庞常词,韦忠礼.四阶奇异边值问题两个正解的存在性[J].数学学报,2003,46(2):403-410. |
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| 作者姓名： | 庞常词 韦忠礼 |
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| 作者单位： | 山东建筑工程学院数理系,济南,250014 |
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| 基金项目： | 国家自然科学基金资助项目(10071043)，山东省自然科学基金资助项目(Y2000A06) |
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| 摘 要： | 本文利用锥压缩和锥拉伸不动点定理,给出了四阶微分方程奇异边值问题两 个C20,1]和C30,1]正解的存在性.
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| 关 键 词： | 四阶奇异边值问题 两个正解 锥压缩和锥拉伸不动点定理 |
| 文章编号： | 0583-1431(2003)02-0403-08 |
| 修稿时间： | 2001年5月15日 |
The Existence of Two Positive Solutions of Singular Boundary Value Problem of Fourth Order Differential Equations |
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| Chang Ci PANG Zhong Li WEI.The Existence of Two Positive Solutions of Singular Boundary Value Problem of Fourth Order Differential Equations[J].Acta Mathematica Sinica,2003,46(2):403-410. |
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| Authors: | Chang Ci PANG Zhong Li WEI |
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| Institution: | Chang Ci PANG Zhong Li WEI(Department of Mathematics and Physics, Shandong Architectural and Civil Engineering Institute, Jinan 250014, P. R. China) |
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| Abstract: | The existence of two C20,1] positive solutions as well as C30,1] positive solutions is established for a singular boundary value problem of fourth order differential equations by using the fixed point theorems of cone expansion and cone compression of norm type. |
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| Keywords: | Fourth order singular boundary value problem Two positive solutions Fixed point theorems of cone expansion and cone compression |
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