Liu, QihuaiHuang, LukaiJiang, Guirong2022-03-282022-03-282017-02-06Liu, Q., Huang, L., & Jiang, G. (2017). Periodic oscillations of the relativistic pendulum with friction. <i>Electronic Journal of Differential Equations, 2017</i>(40), pp. 1-10.1072-6691https://hdl.handle.net/10877/15564We consider the existence and multiplicity of periodic oscillations for the forced pendulum model with relativistic effects by using the Poincaré-Miranda theorem. Some detailed information about the bound for the period of forcing term is obtained. To support our analytical work, we also consider a forced pendulum oscillator with the special force γ₀ sin(ωt) including a sufficiently small parameter. The result shows us that for all ω ∈ (0, +∞), there exists a 2π/ω periodic solution under our settings.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalRelativistic pendulumPoincare-Miranda theoremAveragingPeriodic solutionsArticle