Multiplicity of positive solutions to second-order singular differential equations with a parameter

被引：20

作者：

Li, Shengjun ^{[1
,2
]}

Liao, Fang-fang ^{[3
]}

Zhu, Hailong ^{[4
]}

机构：

[1] Hohai Univ, Coll Sci, Nanjing 210098, Jiangsu, Peoples R China

[2] Hainan Univ, Dept Math, Haikou 570228, Peoples R China

[3] Nanjing Coll Informat Technol, Nanjing 210046, Jiangsu, Peoples R China

[4] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2014年

基金：

中国国家自然科学基金;

关键词：

positive solutions; singular; Guo-Krasnosel'skii fixed point theorem; FIXED-POINT THEOREM; PERIODIC-SOLUTIONS; SYSTEMS; EXISTENCE;

D O I：

10.1186/1687-2770-2014-115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and multiplicity of positive periodic solutions for second-order nonlinear damped differential equations by combing the analysis of positiveness of the Green function for a linear damped equation. Our nonlinearity may be singular in its dependent variable. The proof of the main result relies on the Guo-Krasnosel'skii fixed point theorem on compression and expansion of cones.

引用

页数：12

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