1.College of Information Sciences and Technology,Hainan University,Haikou,China;2.School of Mathematics and Statistics,Central South University,Changsha,China
Abstract:
The existence and multiplicity of non-collision periodic solutions for second order singular dynamical systems are discussed in this paper. Using the Green’s function of linear differential equation, we consider general singularity and do not need any kind of strong force condition. The proof relies on a nonlinear alternative principle of Leray–Schauder and a fixed point theorem in cones.