| 用Leggett-Williams不动点定理求多点边值问题的3个正解(英文) |
| |
| 引用本文： | 陈升平.用Leggett-Williams不动点定理求多点边值问题的3个正解(英文)[J].四川师范大学学报(自然科学版),2009,32(4). |
| |
| 作者姓名： | 陈升平 |
| |
| 作者单位： | 广东商学院,数学与计算科学学院,广东,广州,510320 |
| |
| 基金项目： | supported by the Natural Science Foundation of Guangdong Province of China(7004344) 广东省自然科学基金 |
| |
| 摘 要： | Sturm-Liouville边值问题有许多应用,并且被许多人已研究过,大多数研究的结果主要集中在至少一个正解的存在性上.研究了更一般的Sturm-Liouville多点边值问题,通过应用Leggett-Williams不动点定理,建立了多点边值问题至少存在3个正解的充分条件,从而推广了以前的定理,并举例说明了所得主要定理的有效性.
|
| 关 键 词： | 二阶微分方程 多点边值问题 Leggett-Williams不动点 正解 |
Three Positive Solutions of Multi-point BVPs Established by Using Leggett-Williams Fixed Point Theorem |
| |
| CHEN Sheng-ping.Three Positive Solutions of Multi-point BVPs Established by Using Leggett-Williams Fixed Point Theorem[J].Journal of Sichuan Normal University(Natural Science),2009,32(4). |
| |
| Authors: | CHEN Sheng-ping |
| |
| Institution: | College of Mathematics and Computational Science;Guangdong University of Business Studies;Guangzhou 510320;Guangdong |
| |
| Abstract: | Sturm-Liouville boundary value problems have many applications and have been studied by many people.Most of the known results focus on the existence of at least one positive solutions.In this paper,a generalized Sturm-Liouville multi-point boundary value problem is studied.By using Leggett-Williams fixed point theorem,the sufficient conditions for at least three positive solutions of the mentioned mult-point BVPs to exist are established.Hence the present theorems are extended.An example is given to illustr... |
| |
| Keywords: | Second order differential equation Multi-point boundary value problem Leggett-Williams fixed point Positive solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
