THREE POSITIVE SOLUTIONS FOR m-POINT BOUNDARY-VALUE PROBLEMS WITH ONE-DIMENSIONAL p-LAPLACIAN

被引：0

作者：

Bai, Donglong ^{[1
]}

Feng, Hanying ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Hebei, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年

关键词：

Multipoint boundary value problem; positive solution; Avery-Peterson fixed point theorem; one-dimensional p-Laplacian; EXISTENCE;

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 multipoint boundary value problem for the one-dimensional p-Laplacian (phi(p)(u'))' + q(t)f(t, u(t), u'(t)) = 0, t is an element of(0, 1), subject to the boundary conditions u(0) = Sigma(m-2)(i-1) a(i)u(xi(i)), u'(1) = beta u'(0). Using a fixed point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The interesting point is that the nonlinear term f involves the first derivative of the unknown function.

引用

页数：10

共 18 条

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