On the existence of periodic oscillations for pendulum-type equations

Advances in Nonlinear Analysis

Cid J. Ángel¹ 

[1] Departamento de Matemáticas, Universidade de Vigo, Vigo, Campus de Ourense, 32004, Spain;

关键词: periodic solution;    ϕ-laplacian;    pendulum equation;    relativistic pendulum;    continuation theorem;    34c25;   

DOI  :  10.1515/anona-2020-0222

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown