| 二阶四点边值问题的三解存在性 |
| |
| 引用本文： | 黄玉梅,高德智,秦伟,董鑫. 二阶四点边值问题的三解存在性[J]. 山东大学学报(理学版), 2008, 43(6): 53-56 |
| |
| 作者姓名： | 黄玉梅 高德智 秦伟 董鑫 |
| |
| 作者单位： | 山东科技大学信息科学与工程学院,山东,青岛,266510;泰山学院数学系,山东泰安,271018;山东科技大学信息科学与工程学院,山东,青岛,266510 |
| |
| 摘 要： | 讨论了二阶四点边值问题:-x″(t)=f(t,x(t),x′(t)), t∈I=［0,1］;x(0)=ax(ξ), x(1)=bx(η),其中0<ξ<η<1,0≤a,b≤1, f:［0,1］×［0,∞］→［0,∞］是连续的。利用拓扑度理论讨论了其多个解的存在性。
|
| 关 键 词： | 上下解 拓扑度 多解 |
| 收稿时间： | 2007-10-10 |
Existence of three solutions for some second-order four-point boundary value problems |
| |
| HUANG Yu-mei,GAO De-zhi,QIN Wei,DONG Xin. Existence of three solutions for some second-order four-point boundary value problems[J]. Journal of Shandong University, 2008, 43(6): 53-56 |
| |
| Authors: | HUANG Yu-mei GAO De-zhi QIN Wei DONG Xin |
| |
| Affiliation: | 1. Department of Applied Mathematics, Shandong University of Science and Technology;2. Department of Mathematics, Taishan College |
| |
| Abstract: | he second-order four-point boundary value problem -x″(t)=f(t,x(t),x′(t)), t∈I=［0,1］;x(0)=ax(ξ), x(1)=bx(η) was studied, where 0<ξ<η<1,0≤a,b≤1, and f: ［0,1］×［0,∞］→［0,∞］ are non-negative continuous functions. Some degree theory arguments were used to get the multiplicity result. |
| |
| Keywords: | upper and lower solutions toplogical degree multiple solutions |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《山东大学学报(理学版)》下载全文 |
|
