Positive solutions of nonlinear operator equations with sign-changing kernel and its applications

被引：3

作者：

Yan, Dongming ^{[1
]}

Pan, Zhigang ^{[2
]}

机构：

[1] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou 310018, Zhejiang, Peoples R China

[2] Southwest Jiaotong Univ, Coll Math, Chengdu 610031, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 230卷

关键词：

Nonlinear operator equation; Sign-changing kernel; Positive solutions; Applications; BOUNDARY-VALUE-PROBLEMS; MULTIPLICITY;

D O I：

10.1016/j.amc.2013.12.132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence of positive solutions of nonlinear operator equation u = lambda Tu are studied, where lambda > 0 is a parameter, T is a compact operator with sign-changing kernel. By using the Leray-Schauder degree theory, the existence of positive solutions of nonlinear operator equations with sign-changing kernel are obtained. The obtained abstract theorem can be applied easily, to illustrate this point the paper also introduces some applications. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：675 / 679

页数：5

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