Periodic bouncing solutions for attractive singular second-order equations Original Research Article

In this paper, by using an approximation approach and phase-plane analysis for the successor map of the impact oscillator, we obtain an existence result for periodic bouncing solutions for a second-order forced equation, x″+g(x)=p(t)x″+g(x)=p(t) (where gg has an attractive singularity), which improves on the previous result in the conditions for both gg and pp.