A global solution curve for a class of periodic problems, including the relativistic pendulum

DOI10.1080/00036811.2012.762088zbMath1291.34072arXiv1610.01999OpenAlexW2059501021WikidataQ58295865 ScholiaQ58295865MaRDI QIDQ5413830

Philip Korman

Publication date: 2 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01999

zbMATH Keywords

periodic solutionsnumerical computations of bifurcation diagramsrelativistic pendulum equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Applications of operator theory to differential and integral equations (47N20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (4)

Periodic solution for second-order impulsive differential inclusions with relativistic operator ⋮ Global solution curves for several classes of singular periodic problems ⋮ \(S\)-shaped connected component of radial positive solutions for a prescribed mean curvature problem in an annular domain ⋮ Unnamed Item

Cites Work

• Periodic solutions of pendulum-like perturbations of singular and bounded \({\varphi}\)-Laplacians
• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• Global solution curves for boundary value problems, with linear part at resonance
• On the number of solutions for the forced pendulum equation
• On the stability of periodic solutions of the damped pendulum equation
• A forced pendulum equation with many periodic solutions
• On periodic solutions of forced pendulum-like equations
• A global solution curve for a class of periodic problems, including the pendulum equation
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• Existence of at least two periodic solutions of the forced relativistic pendulum
• NONDEGENERACY OF THE PERIODICALLY FORCED LIÉNARD DIFFERENTIAL EQUATION WITH ϕ-LAPLACIAN
• Perturbations of second order linear elliptic problems by nonlinearities without landesman-lazer condition

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