Multiplicity of positive periodic solutions to nonlinear boundary value problems with a parameter

被引：1

作者：

Zhu H. ^{[1
]}

Li S. ^{[2
]}

机构：

[1] School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu

[2] College of Information Sciences and Technology, Hainan University, Haikou

来源：

Journal of Applied Mathematics and Computing | 2016年 / 51卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Krasnosel’skii’s fixed point theorem; Leray-Schauder alternative principle; Multiplicity; Periodic solution;

D O I：

10.1007/s12190-015-0902-x

中图分类号：

学科分类号：

摘要：

We study the existence and multiplicity of positive periodic solutions for second order differential equations with a parameter. In this class of problems, we are mainly concerned with the semi-positone case. Our methods are based on the nonlinear alternative principle of Leray-Schauder and Krasnosel’skii’s fixed point theorem in cones. Analytical results are illustrated by means of numerical experiments. © Korean Society for Computational and Applied Mathematics 2015.

引用

页码：245 / 256

页数：11

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