Multiplicity of positive solutions to second-order singular differential equations with a parameter
1 College of Science, Hohai University, Nanjing, 210098, China
2 Department of Mathematics, Hainan University, Haikou, 570228, China
3 Nanjing College of Information Technology, Nanjing, 210046, China
4 School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, 233030, China
Boundary Value Problems 2014, 2014:115 doi:10.1186/1687-2770-2014-115Published: 14 May 2014
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.
MSC: 34B16, 34C25.