On the existence of periodic oscillations for pendulum-type equations

DOI10.1515/ANONA-2020-0222zbMath1451.34048OpenAlexW3033501542MaRDI QIDQ2188417

José Ángel Cid

Publication date: 11 June 2020

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0222

zbMATH Keywords

periodic solutions\(\phi\)-Laplacianpendulum equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

Related Items (6)

Harmonic and subharmonic solutions of quadratic Liénard type systems with sublinearity ⋮ A non-existence result for periodic solutions of the relativistic pendulum with friction ⋮ On the existence of multiple solutions for a partial discrete Dirichlet boundary value problem with mean curvature operator ⋮ Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation ⋮ Stability, existence and non-existence of \(T\)-periodic solutions of nonlinear delayed differential equations with \(\varphi\)-Laplacian ⋮ Existence of periodic solutions for the forced pendulum equations of variable length

Cites Work

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• Solvability for some boundary value problems with \(\phi\)-Laplacian operators
• The stability of the equilibrium of a nonlinear planar system and application to the relativistic oscillator
• On the existence and stability of periodic solutions for pendulum-like equations with friction and \(\phi \)-Laplacian
• Periodic solutions of some autonomous Liénard equations with relativistic acceleration
• Existence of at least two periodic solutions of the forced relativistic pendulum
• NONDEGENERACY OF THE PERIODICALLY FORCED LIÉNARD DIFFERENTIAL EQUATION WITH ϕ-LAPLACIAN
• MULTIPLE BOUNDED VARIATION SOLUTIONS OF A PERIODICALLY PERTURBED SINE-CURVATURE EQUATION
• Continuation Theorems for Periodic Perturbations of Autonomous Systems
• Examples of the nonexistence of a solution in the presence of upper and lower solutions
• Non–continuation of the periodic oscillations of a forced pendulum in the presence of friction

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