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.
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页数：12
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