| p-Laplace算子方程三点边值问题单调正解的存在性 |
| |
| 引用本文： | 刘锡平,贾梅,葛渭高.p-Laplace算子方程三点边值问题单调正解的存在性[J].吉林大学学报(理学版),2007,45(1):49-55. |
| |
| 作者姓名： | 刘锡平 贾梅 葛渭高 |
| |
| 作者单位： | 1. 上海理工大学 理学院, 上海 200093; 2. 北京理工大学 应用数学系, 北京 100081 |
| |
| 基金项目： | 国家自然科学基金
,
上海市教委资助项目 |
| |
| 摘 要： | 利用锥拉伸与锥压缩不动点定理, 研究一类具p-Laplace算子的二阶微分方程的三点边值问题单调正解的存在性, 给出了单调正解存在的充分条件, 并确定了解曲线的凹凸性.
|
| 关 键 词： | p-Laplace算子 三点边值问题 锥拉伸与锥压缩不动点定理 单调正解 |
| 文章编号： | 1671-5489(2007)01-0049-07 |
| 收稿时间： | 2006-03-09 |
| 修稿时间： | 2006年3月9日 |
Existence of Monotone Positive Solutions to a Type of Three-point Boundary Value Problem with p-Laplacian Operator |
| |
| LIU Xi-ping,JIA Mei,GE Wei-gao.Existence of Monotone Positive Solutions to a Type of Three-point Boundary Value Problem with p-Laplacian Operator[J].Journal of Jilin University: Sci Ed,2007,45(1):49-55. |
| |
| Authors: | LIU Xi-ping JIA Mei GE Wei-gao |
| |
| Institution: | 1. College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China; 2. Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China |
| |
| Abstract: | This paper deals with the existence of monotone positive solutions to a type of three point boundary value problems of nonlinear second-order differential equations with p-Laplacian operator.On the basis of the fixed point theorem on cone,sufficient conditions for the existence of monotone positive solutions are given to the boundary value problems with homogeneous and nonhomogeneous boundary conditions,respectively,and the convexity of solution curves is decided. |
| |
| Keywords: | p-Laplacian operator three-point boundary value problem the fixed point theorem on cone monotone positive solutions |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
