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Bouncing periodic solutions for forced Pendulum-type equations with impact

Bouncing periodic solutions for forced Pendulum-type equations with impact

In this paper, we discuss the existence for infinity of bouncing subharmonic periodic solutions of pendulum-type equations with impact.We transform the impact phase-plane into a whole phase-plane by a coordinate transformation.After analyzing the motions of the transformed system on the phase-plane, we prove the existence of infinite many subharmonic solutions …