Resumen de Periodic Solutions of a Second Order Discontinuous Nonautonomous Differential Equation

Fangfang Jiang, Yujuan Chen, Jitao Sun

• In this paper, we are concerned with a problem of periodic solution for a second order nonautonomous differential equation with a discontinuity line. Under two types of assumptions, we analyze the geometric properties of solutions respectively. Then by using a fixed point theorem, we obtain several existence criteria of periodic solutions, where the periodic solutions are crossing harmonic and subharmonic solutions.