| 三阶非线性特征值问题解的存在性 |
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| 引用本文： | 胡金燕,杨云峰. 三阶非线性特征值问题解的存在性[J]. 数学的实践与认识, 2007, 37(1): 104-109 |
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| 作者姓名： | 胡金燕 杨云峰 |
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| 作者单位： | 大庆石油学院数学系,黑龙江,大庆,163318 |
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| 摘 要： | 利用锥不动点指数研究了三阶非线性特征值问题u+ρ3u=λg(t)f(u),00.
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| 关 键 词： | 三阶非线性特征值问题 锥 不动点指数 |
| 修稿时间： | 2005-09-19 |
Existence of Non-negative Solutions of Nonlinear Third order Eigenvalue Problems |
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| HU Jin-yan,YANG Yun-feng. Existence of Non-negative Solutions of Nonlinear Third order Eigenvalue Problems[J]. Mathematics in Practice and Theory, 2007, 37(1): 104-109 |
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| Authors: | HU Jin-yan YANG Yun-feng |
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| Abstract: | The authors consider the nonlinear third order differential equationsu+ρ~3u=λg(t)f(u), 00 is a parameter.Two results on the existence of non-negative solutions to problem(B)-(E) are obtained.And the proof uses the fixed point ndex in the cone theory. |
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| Keywords: | nonlinear third order eigenvalue problem cone fixed point index |
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