| 一类非线性三点边值问题的2个正解 |
| |
| 引用本文： | 吴红萍. 一类非线性三点边值问题的2个正解[J]. 甘肃科学学报, 2010, 22(2): 1-4 |
| |
| 作者姓名： | 吴红萍 |
| |
| 作者单位： | 西北师范大学,数学与信息科学学院,甘肃,兰州,730070 |
| |
| 基金项目： | 国家自然科学基金项目 |
| |
| 摘 要： | 应用锥上的不动点定理,建立了非线性三点边值问题u″+f(t,u)=0,αu(0)-βu′(0)=0,u(1)-ku(η)=02个正解的存在性定理,其中η∈(0,1)是一个常数.
|
| 关 键 词： | 非线性三点边值问题 正解 锥 |
Two Positive Solutions for a Nonlinear Three-Point Boundary Value Problem |
| |
| WU Hong-ping. Two Positive Solutions for a Nonlinear Three-Point Boundary Value Problem[J]. Journal of Gansu Sciences, 2010, 22(2): 1-4 |
| |
| Authors: | WU Hong-ping |
| |
| Affiliation: | WU Hong-ping(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
| |
| Abstract: | Using the Fixed Point theorems in cones,the existence of positive solutions for nonlinear three-point boundary value problem is established：u″＋f（t,u）=0,αu（0）-βu＇（0）=0,u（1）-ku（η）=0,u（1）-ku（η）=0,where η∈（0,1） is a constant.The sufficient conditions of at least two positive solutions for this problem are obtained. |
| |
| Keywords: | nonlinear three-point boundary value problem positive solution cone |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
