| 高耦合边值问题正解的存在性 |
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| 引用本文： | 倪小红,葛渭高.高耦合边值问题正解的存在性[J].应用数学学报,2005,28(2):210-215. |
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| 作者姓名： | 倪小红 葛渭高 |
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| 作者单位： | 1. 湖州师范学院理学院数学系,浙江,313000
2. 北京理工大学理学院数学系,北京,100081 |
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| 摘 要： | 本文通过研究非线性项f(t,x1,x2…，xn-1）和g(t,y1,y2…yn-1)的性质，给出了高阶耦合边值问题至少存在一个正解的条件，同时，运用该结论建立了两个正解的存在性定理。
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| 关 键 词： | 边值问题 正解的存在性 耦合 存在性定理 非线性项 |
EXISTENCE OF POSITIVE SOLUTIONS FOR HIGHER-ORDER COUPLED BOUNDARY VALUE PROBLEM |
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| NI XIAOHONG,Ge Weigao.EXISTENCE OF POSITIVE SOLUTIONS FOR HIGHER-ORDER COUPLED BOUNDARY VALUE PROBLEM[J].Acta Mathematicae Applicatae Sinica,2005,28(2):210-215. |
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| Authors: | NI XIAOHONG Ge Weigao |
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| Abstract: | In this paper, the authors provide conditions on nonlinear functions f(t, x1, X2,..., Xn1-)and g(t, y1i, y2,..., yn-1) such that the higher-order coupled boundary value problem has at least one positive solution. Moreover, they shall apply this result to establish several existence theorems which guarantee the existence of multiple positive solutions. |
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| Keywords: | boundary value problem positive solution fixed point |
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