EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTIONS FOR FOURTH-ORDER m-POINT BOUNDARY VALUE PROBLEMS WITH TWO PARAMETERS

被引：13

作者：

Hao, Xinan ^{[1
]}

Xu, Naiwei ^{[2
]}

Liu, Lishan ^{[1
,3
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Shandong Water Conservat Profess Inst, Rizhao 276826, Shandong, Peoples R China

[3] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2013年 / 43卷 / 04期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Cone; Fixed point; Multipoint boundary value problem; Positive solution; Uniqueness;

D O I：

10.1216/RMJ-2013-43-4-1161

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the existence and uniqueness of positive solutions to fourth-order m-point boundary value problems with two parameters. The arguments are based upon a specially constructed cone and a fixed point theorem in a cone for a completely continuous operator, due to Krasnoselskii and Zabreiko. The results obtained herein generalize and complement the main results of [7, 10].

引用

页码：1161 / 1180

页数：20

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