Resumen de Existence of Periodic Solutions for the Forced Pendulum Equations of Variable Length

Hujun Yang, Xiaoling Han

• This article investigates the forced pendulum equations of variable length x + kx + a(t)sin x = e(t), where a(t), e(t) are continuous T -periodic functions, k ∈ R is a constant. Under suitable assumptions on the a(t), e(t) and T , we prove the existence of T -periodic solutions to the forced pendulum equations using Mawhin’s continuation theorem.

  Finally, some specific examples and numerical simulations are given to illustrate the applicability of the conclusions of this paper.