| 一类二阶积分边值问题的多个正解 |
| |
| 引用本文： | 申艳平,赵增勤. 一类二阶积分边值问题的多个正解[J]. 曲阜师范大学学报, 2010, 36(2): 10-16 |
| |
| 作者姓名： | 申艳平 赵增勤 |
| |
| 作者单位： | 曲阜师范大学数学科学学院,273165,山东省曲阜市 |
| |
| 基金项目： | 基金项目:国家自然科学基金，山东省自然科学基金 |
| |
| 摘 要： | 研究了一类二阶非线性微分方程非局部积分边值问题的多个正解的存在性,利用Leggett-Wil-liams不动点定理,Kransnoselskii's锥拉伸与锥压缩型不动点定理及Green函数的性质获得了方程的多个正解的存在性.
|
| 关 键 词： | 积分边值问题 不动点定理 多个正解 |
The Multiple Positive Solutions for a Class of Integral Boundary Value Problems |
| |
| SHEN+Yan-ping,ZHAO+Zeng-qin. The Multiple Positive Solutions for a Class of Integral Boundary Value Problems[J]. Journal of Qufu Normal University(Natural Science), 2010, 36(2): 10-16 |
| |
| Authors: | SHEN+Yan-ping ZHAO+Zeng-qin |
| |
| Affiliation: | SHEN+Yan-ping,ZHAO+Zeng-qin(School+of+Mathematical+Sciences,Qufu+Normal+University,273165,Qufu,Sh,ong,PRC) |
| |
| Abstract: | In this paper,a second order integral boundary value problem for nonlinear differential equations is considered.The existence and multiplicity of positive solutions is obtained by using Leggett-Williams fixed point theorem,the Krasnoselskii's fixed point theorem of cone expansion or compression type,and the properties of Green's function. |
| |
| Keywords: | integral boundary value problem fixed point theorem multiple positive solutions. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
