Non-autonomous second order Hamiltonian systems
Published Web Locationhttps://doi.org/10.1016/j.jde.2014.03.016
We study the existence of periodic solutions for a second order non-autonomous dynamical system containing variable kinetic energy terms. Our assumptions balance the interaction between the kinetic energy and the potential energy with neither one dominating the other. We study sublinear problems and the existence of non-constant solutions. © 2014 Elsevier Inc.