Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces

被引：77

作者：

Jiang, DQ

Chu, JF

O'Regan, D

Agarwal, RP ^{[1
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

[3] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 286卷 / 02期

基金：

中国国家自然科学基金;

关键词：

superlinear singular periodic problem; positive solution; Leray-Schauder alternative; fixed point theorem in cones;

D O I：

10.1016/S0022-247X(03)00493-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces is discussed in this paper. Our nonlinearity may be singular in its dependent variable and our analysis relies on a nonlinear alternative of Leray-Schauder type and on a fixed point theorem in cones. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：563 / 576

页数：14

共 12 条

[1]

Deimling K., 1985, NONLINEAR FUNCTIONAL, DOI DOI 10.1007/978-3-662-00547-7

[2] T-PERIODIC SOLUTIONS FOR SOME 2ND-ORDER DIFFERENTIAL-EQUATIONS WITH SINGULARITIES [J].