| 具p-Laplace算子的四阶三点边值问题的两个正解 |
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| 引用本文： | 封汉颍,葛渭高.具p-Laplace算子的四阶三点边值问题的两个正解[J].数学的实践与认识,2007,37(24):140-146. |
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| 作者姓名： | 封汉颍 葛渭高 |
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| 作者单位： | 1. 北京理工大学,数学系,北京,100081;军械工程学院,基础部,石家庄,050003
2. 北京理工大学,数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 研究下列具有p-Laplace算子的四阶三点边值问题(p(u″(t)))″+a(t)f(u(t))=0,t∈(0,1),u(0)=ξu(1),u′(1)=ηu′(0),(p(u″(0))′=α1(p(u″(δ))′,p(u″(1))=β1(p(u″(δ)),通过利用Avery-Henderson不动点定理,给出了边值问题存在至少两个正解的充分条件.
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| 关 键 词： | 边值问题 锥 不动点定理 正解 |
| 修稿时间： | 2007年4月3日 |
Two Positive Solutions for Fourth-Order Three-Point p-Laplacian Boundary Value Problems |
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| FENG Han-ying,GE Wei-gao.Two Positive Solutions for Fourth-Order Three-Point p-Laplacian Boundary Value Problems[J].Mathematics in Practice and Theory,2007,37(24):140-146. |
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| Authors: | FENG Han-ying GE Wei-gao |
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| Abstract: | We study the following fourth-order three-point boundary value problem with p-Laplacian(p(u″(t)))″+a(t)f(u(t))=0, t∈(0,1), u(0)=ξu(1), u′(1)=ηu′(0),(p(u″(0))′=α1(p(u″(δ))′,p(u″(1))=β1(p(u″(δ)).By means of the fixed point theorem due to Avery and Henderson,Some sufficient conditions are obtained that guarantee the existence ofat least two positive solutions to the above boundary value problem. |
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| Keywords: | boundary value problem cone fixed point theorem positive solution |
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