| 带参数悬臂梁问题的单增正解 |
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| 引用本文： | 肖润梅,刘喜兰.带参数悬臂梁问题的单增正解[J].数学的实践与认识,2009,39(11). |
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| 作者姓名： | 肖润梅 刘喜兰 |
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| 作者单位： | 山西大同大学,数学与计算机科学学院,山西,大同,037009 |
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| 基金项目： | 第42批博士后基金，教育部重点科研项目 |
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| 摘 要： | 讨论了带有参数的悬臂梁方程u(4)(t)=λf(t,u(t)),0
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| 关 键 词： | 存在性 单增正解 悬臂梁方程 |
Nondecreasing Positive Solutions for a Cantilever Beam Equation with a Parameter |
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| XIAO Run-mei,LIU Xi-lan.Nondecreasing Positive Solutions for a Cantilever Beam Equation with a Parameter[J].Mathematics in Practice and Theory,2009,39(11). |
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| Authors: | XIAO Run-mei LIU Xi-lan |
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| Abstract: | This paper is concerned with the existence and multiplicity of the solutions for a cantilever beam equation u(4)(t)=λf(t,u(t)),00 is a parameter. By the fixed point theorem, we find some particular intervals such that for, being such intervals the problem has at least one, two positive nondecreasing solutions, or no positive solutions, which improves the results of |
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| Keywords: | existence nondecreasing positive solution cantilever beam equation |
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