| 二阶三点边值问题对称正解的存在性及多解性 |
| |
| 引用本文： | 张静,韩晓玲.二阶三点边值问题对称正解的存在性及多解性[J].四川大学学报(自然科学版),2018,55(5):935-940. |
| |
| 作者姓名： | 张静 韩晓玲 |
| |
| 作者单位： | 西北师范大学数学与统计学院,西北师范大学数学与统计学院 |
| |
| 基金项目： | 国家自然科学基金（11561063） |
| |
| 摘 要： | 本文运用Krasnosel'skii不动点定理方法研究了三点边值问题{u″(t)+a(t)f(t,u,u′)=0,t∈0,1],u(0)=u(1)=αu(η)对称正解的存在性和多解性,这里α∈(0,1),η∈(0,1),f:0,1]×0,∞)×(-∞,∞)→0,∞)连续,且对任意(u,v)∈0,∞)×(-∞,∞),f(·,u,v)在0,1]上对称.
|
| 关 键 词： | 三点边值问题 对称正解 不动点定理 |
| 收稿时间： | 2017/11/15 0:00:00 |
| 修稿时间： | 2017/12/7 0:00:00 |
Existence and multiplicity of symmetric positive solutions for second-order three-point boundary value problem |
| |
| ZHANG Jing and HAN Xiao-Ling.Existence and multiplicity of symmetric positive solutions for second-order three-point boundary value problem[J].Journal of Sichuan University (Natural Science Edition),2018,55(5):935-940. |
| |
| Authors: | ZHANG Jing and HAN Xiao-Ling |
| |
| Institution: | College of Mathematics and Statistics, Northwest Normal University,College of Mathematics and Statistics, Northwest Normal University |
| |
| Abstract: | By using the fixed point theorem of Krasnosel''skii, we study the existence and multiplicity of symmetric positive solutions for a class of second-order three-point boundary value problem. |
| |
| Keywords: | Three-point boundary value problem Symmetric positive solution Fixed point theorem |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《四川大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《四川大学学报(自然科学版)》下载免费的PDF全文 |
|
