On the existence of periodic oscillations for pendulum-type equations

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 liter...

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Bibliographic Details
Main Author: Cid J. Ángel
Format: Article
Language:English
Published: De Gruyter 2020-05-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2020-0222