| 一类四队两点边值问题正解的存在性 |
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| 引用本文： | 吴红萍,马如云.一类四队两点边值问题正解的存在性[J].应用泛函分析学报,2000,2(4):342-348. |
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| 作者姓名： | 吴红萍 马如云 |
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| 作者单位： | 西北师范大学数学系， 甘肃 兰州， 730070 |
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| 摘 要： | 在边值条件y(0)=y(1)=y′(0)=y′(1)=0下，研究方程y″″(x)=f(x,y(x))的正解存在性，给出两端固定的弹性梁方程正解及多个正解存在的充分条件.
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| 关 键 词： | 锥 四阶两点边值问题 弹性梁方程 正解 存在性 |
| 文章编号： | 1009-1327 (2000) 04-0342-07 |
| 修稿时间： | 2000年4月8日 |
Positive Solutions of Fourth-order Two-point Boundary Value Problem |
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| WU Hong-ping,MA Ru-yun.Positive Solutions of Fourth-order Two-point Boundary Value Problem[J].Acta Analysis Functionalis Applicata,2000,2(4):342-348. |
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| Authors: | WU Hong-ping MA Ru-yun |
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| Abstract: | In this paper, we study the existence of the equ ation y″″(x)=f(x,y(x)) with y(0)=y(1)=y′(0)=y′(1)= 0. We show the existence of positive solutions and multiple positive solutio ns by a simply application of Fixed Point Theorem in cone. Which describs the de formations of an elastic beam whose both end-points are fixed. |
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| Keywords: | fourth-order BVP positive solution cone |
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