On the existence of periodic oscillations for pendulum-type equations

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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.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: On the existence of periodic oscillations for pendulum-type equations ; volume:10 ; number:1 ; year:2020 ; pages:121-130 ; extent:10
Advances in nonlinear analysis ; 10, Heft 1 (2020), 121-130 (gesamt 10)

Creator: Cid, J. Ángel

DOI: 10.1515/anona-2020-0222

URN: urn:nbn:de:101:1-2405021609055.044405300621

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 10:44 AM CEST

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Cid, J. Ángel

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On the existence of periodic oscillations for pendulum-type equations

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Other Objects (12)

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