Multiplicity of positive solutions to second-order singular differential equations with a parameter
نویسندگان
چکیده
*Correspondence: [email protected] 1College of Science, Hohai University, Nanjing, 210098, China 2Department of Mathematics, Hainan University, Haikou, 570228, China Full list of author information is available at the end of the article Abstract 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
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