Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions
Date
2019-04-10
Authors
Jiang, Yongxin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Vanishing Green's function, Leray-Schauder alternative, Fixed point theorem in cones
Citation
Jiang, Y. (2019). Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions. <i>Electronic Journal of Differential Equations, 2019</i>(47), pp. 1-12.
Rights
Attribution 4.0 International