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| 一类四阶三点边值问题三个正解的存在性 | |
| 引用本文： | 孙博,张立新,葛渭高.一类四阶三点边值问题三个正解的存在性[J].数学的实践与认识,2012,42(19). |
| 作者姓名： | 孙博 张立新 葛渭高 |
| 作者单位： | 1. 中央财经大学应用数学学院,北京,100081 2. 北京联合大学基础部,北京,100101 3. 北京理工大学理学院数学系,北京,100081 |
| 基金项目： | 国家自然科学基金数学天元基金，中央财经大学"中财121人才工程"青年博士发展基金，中央财经大学学科建设基金 |
| 摘 要： | 利用Avery-Henderson不动点定理得到了一类具p-Laplace算子的四阶三点边值问题在一定条件下至少三个正解的存在性,丰富和推广了相关已有文献的研究结果. |
| 关 键 词： | 正解 p-Laplace算子 锥 四阶边值问题 |
Existence of Three Positive Solutions to a Class of Fourth-Order Three-point Boundary Value Problem |
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| Sun Bo , Zhang Li-xin , GE Wei-gao.Existence of Three Positive Solutions to a Class of Fourth-Order Three-point Boundary Value Problem[J].Mathematics in Practice and Theory,2012,42(19). | |
| Authors: | Sun Bo Zhang Li-xin GE Wei-gao |
| Abstract: | This papar deals with the existence of three positive solutions to a class of fourthorder three-point boundary value problem.Sufficient conditions are established by applying Avery-Henderson fixed point theorem in cones. |
| Keywords: | positive solution p-Laplacian cone fourth-order boundary value problem |
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