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.

引用

页数：10

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