| 一类n阶两点边值问题三个正解的存在性 |
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| 引用本文： | 王峰,费祥历,陈云.一类n阶两点边值问题三个正解的存在性[J].鲁东大学学报,2010,26(2). |
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| 作者姓名： | 王峰 费祥历 陈云 |
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| 作者单位： | 中国石油大学,华东,数学与计算科学学院,山东,青岛,266555 |
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| 摘 要： | 建立了一个锥上的泛函形式的不动点定理,讨论了一类非线性项依赖低阶导数的n阶两点边值问题并得到了三个正解的存在性,最后给出了一个例子以验证前面得到的结果.
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| 关 键 词： | 不动点定理 正解 n阶 两点边值问题 |
Existence of Three Positive Solutions for Some nth Order Two Point Boundary Value Problem |
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| WANG Feng,FEI Xiang-li,CHEN Yun.Existence of Three Positive Solutions for Some nth Order Two Point Boundary Value Problem[J].Ludong University Journal (Natural Science Edition),2010,26(2). |
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| Authors: | WANG Feng FEI Xiang-li CHEN Yun |
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| Institution: | WANG Feng,FEI Xiang-li,CHEN Yun(School of Mathematics , Computational Science,China University of Petroleum,Qingdao 266555,China) |
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| Abstract: | A new fixed point theorem of functional type in a cone is established,an nth order two point boundary value problem is considered and the existence of three positive solutions is obtained.Finally,an example is given to verify the result. |
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| Keywords: | fixed point theorem positive solution nth order two point boundary value problem |
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