Symmetric positive solutions for p-Laplacian fourth-order differential equations with integral boundary conditions

被引：47

作者：

Zhang, Xuemei ^{[1
,3
]}

Feng, Meiqiang ^{[2
,3
]}

Gee, Weigao ^{[3
]}

机构：

[1] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

[2] Beijing Informat Technol Inst, Dept Fundamental Sci, Beijing 100101, Peoples R China

[3] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 222卷 / 02期

关键词：

Boundary value problem; Symmetric positive solution; Fixed point theorem; Existence;

D O I：

10.1016/j.cam.2007.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence and multiplicity of symmetric positive solutions for a class of p-Laplacian fourth-order differential equations with integral boundary conditions. The arguments arc based upon a specially constructed cone and the fixed point theory for cones. The nonexistence of a positive Solution is also Studied. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：561 / 573

页数：13

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