Positive Solutions for Integral Boundary Value Problem with φ-Laplacian Operator

被引：4

作者：

Ding, Yonghong ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2011年

关键词：

DIMENSIONAL P-LAPLACIAN; EXISTENCE;

D O I：

10.1155/2011/827510

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the existence, multiplicity of positive solutions for the integral boundary value problem with phi-Laplacian (phi(u'(t)))' + f(t,u(t),u'(t)) = 0, t is an element of [0, 1], u(0) = integral(1)(0)u(r)g(r)dr, u(1) = integral(1)(0)u(r)h(r)dr, where phi is an odd, increasing homeomorphism from R onto R. We show that it has at least one, two, or three positive solutions under some assumptions by applying fixed point theorems. The interesting point is that the nonlinear term f is involved with the first-order derivative explicitly.

引用

页数：15

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