In this article, we study the existence and multiplicity of positive periodic solutions for second-order non-autonomous dynamical systems when Green's functions are non-negative. The proofs are based on a nonlinear alternative principle of Leray-Schauder and the fixed point theorem in cones. Some recent results in the literature are generalized and improved.
Submitted March 18, 2018. Published April 10, 2019.
Math Subject Classifications: 34C25, 34B15, 34A25.
Key Words: Vanishing Green's function; Leray-Schauder alternative; fixed point theorem in cones
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| Yongxin Jiang |
Department of Mathematics
Nanjing 210098, China
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