MULTIPLE POSITIVE SOLUTIONS FOR FOURTH-ORDER THREE-POINT p-LAPLACIAN BOUNDARY-VALUE PROBLEMS

被引：0
|
作者：
Feng, Hanying [1 ,2 ]
Feng, Meiqiang [1 ,3 ]
Jiang, Ming [4 ]
Ge, Weigao [1 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
[2] Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China
[3] Beijing Informat Technol Inst, Dept Fundamental Sci, Beijing 100101, Peoples R China
[4] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年
关键词：
Fourth-order boundary-value problem; one-dimensional p-Laplacian; five functional fixed point theorem; positive solution;
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 paper, we study the three-point boundary-value problem for a fourth-order one-dimensional p-Laplacian differential equation (phi p(u ''(t))'' + a(t)f (u(t)) = 0, t is an element of (0, 1), subject to the nonlinear boundary conditions: u(0) - xi u(1), u'(1) - eta u'(0), (phi p(u ''(0))' = alpha(1)(phi p(u ''(delta))', u ''(1) = p-1 root beta(1)u ''(delta), where phi p(s) = vertical bar s vertical bar(p-2)s, p > 1. Using the five functional fixed point theorem due to Avery, we obtain sufficient conditions for the existence of at least three positive solutions.
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页数：10
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