Abstract We provide new sufficient conditions for the existence of T-periodic solutions for the ϕ-laplacian pendulum equation (ϕ(x′))′ + k x′ + a sin x = e(t), where e ∈ C͠T. Our main tool is a continuation theorem due to Capietto, Mawhin and Zanolin and we improve or complement previous results in the literature obtained in the framework of the classical, the relativistic and the curvature pendulum equations.

中文翻译：

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关于摆型方程周期振荡的存在性

摘要 我们为 ϕ-laplacian 摆方程 (ϕ(x′))′ + kx′ + a sin x = e(t) 的 T 周期解的存在性提供了新的充分条件，其中 e ∈ C͠T。我们的主要工具是 Capietto、Mawhin 和 Zanolin 的连续定理，我们改进或补充了在经典、相对论和曲率摆方程框架下获得的文献中的先前结果。