Existence and multiplicity results for nonlinear periodic boundary value problems

被引：26

作者：

Hao, Xinan ^{[1
]}

Liu, Lishan ^{[1
,2
]}

Wu, Yonghong ^{[2
]}

机构：

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

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 9-10期

基金：

中国国家自然科学基金;

关键词：

Periodic boundary value problem; Positive solution; Global continuation theorem; Fixed point index; Existence; Multiplicity; POSITIVE SOLUTIONS;

D O I：

10.1016/j.na.2009.12.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the existence of positive solutions for periodic boundary value problems. The criteria for the existence, nonexistence and multiplicity of positive solutions are established by using the Global continuation theorem, fixed point index theory and approximate method. The results obtained herein generalize and complement some previous findings of [J.R. Graef, L Kong, H. Wang, Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem, J. Differential Equations 245 (2008) 1185-1197] and some other known results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：3635 / 3642

页数：8

共 17 条

[1]

[Anonymous], 1985, Nonlinear Functional Analysis and its Applications

[2] Positive solutions for some second-order four-point boundary value problems [J].