Periodic solutions of second-order non-autonomous dynamical systems with vanishing Green's functions
Texas State University, Department of Mathematics
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.
Vanishing Green's function, Leray-Schauder alternative, Fixed point theorem in cones
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.
Attribution 4.0 International