MULTIPLE POSITIVE SOLUTIONS FOR SECOND-ORDER THREE-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITIES

被引：0
|
作者：
Liu, Jian [1 ]
Zhao, Zengqin [2 ]
机构：
[1] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan 250014, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年
基金：
中国国家自然科学基金;
关键词：
Multiple positive solutions; sign changing; fixed-point theorem; ORDINARY DIFFERENTIAL-EQUATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study the second-order three-point boundary-value problem u ''(t) + a(t)u'(t) + f(t, u) = 0, 0 <= t <= 1, u'(0) = 0, u(1) = alpha u(eta), where 0 < alpha, eta < 1, a epsilon C([0, 1], (-infinity, 0)) and f is allowed to change sign. We show that there exist two positive solutions by using Leggett-Williams fixed-point theorem.
引用
收藏
页数：7
相关论文
共 50 条
12345