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Volume 14, Number 6, 2024, Pages -                                                                DOI：10.11948/JAAC-2024-0039
LEVINSON’S CONJECTURE TO NEWTONIAN SYSTEMS WITH JUMPING NONLINEARITY
ying ying li
Keywords:Jumping nonlinearity, periodic solutions, Newtonian systems with friction, Lyapunov’s methods.
Abstract:
      This paper concerns the jumping nonlinear Newtonian systems with friction. We show the existence of periodic solutions by using Lyapunov’s methods and the modular degree theory. Furthermore, we apply our main results to a suspension bridge model.
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