THE EXISTENCE OF MULTIPLE FIXED POINTS FOR THE SUM OF TWO OPERATORS AND APPLICATIONS

被引：0

作者：

Sang, Yanbin ^{[1
,2
]}

Wei, Zhongli ^{[2
,3
]}

Dong, Wei ^{[4
]}

机构：

[1] N Univ China, Dept Math, Taiyuan 030051, Shanxi, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

[3] Shandong Jianzhu Univ, Dept Math, Jinan 250101, Shandong, Peoples R China

[4] Hebei Univ Engn, Handan 056021, Hebei, Peoples R China

来源：

FIXED POINT THEORY | 2012年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Cone; tau-phi-concave operator; tau-phi-convex operator; superlinear; multi-point boundary value problem; BOUNDARY-VALUE-PROBLEMS; NODAL SOLUTIONS; 2ND-ORDER;

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, by means of tau-phi-concave (convex) operators, the existence of two positive fixed points for some nonlinear operators is considered. In particular, the fixed point theorems cf the sum of a phi(1)-concave operator and a phi(2)-convex operator are obtained, our tools are based on the properties of cones and the fixed point theorem of cone expansion and compression. Our abstract results are applied to superlinear second-order multi-point boundary value problems.

引用

页码：193 / 204

页数：12

共 22 条

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