On the number of solutions for the forced pendulum equation

DOI10.1016/0022-0396(89)90096-XzbMath0686.34036MaRDI QIDQ1262436

Grabriella Tarantello

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

frictionforced pendulum equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (17)

Periodic solutions of the forced pendulum: Exchange of stability and bifurcations ⋮ The rate of decay of stable periodic solutions for Duffing equation with \(L^p\)-conditions ⋮ Many periodic solutions for pendulum-type equations ⋮ On the existence of periodic solutions for a class of generalized forced Liénard equations ⋮ Global solution curves for several classes of singular periodic problems ⋮ On the stability of periodic solutions of the damped pendulum equation ⋮ Exact multiplicity and stability of periodic solutions for a Duffing equation ⋮ Exact multiplicity for periodic solutions of Duffing type. ⋮ Global solution curves for boundary value problems, with linear part at resonance ⋮ Remarks on Forced Equations of the Double Pendulum Type ⋮ Almost periodic weak solutions to forced pendulum type equations without friction ⋮ A global solution curve for a class of periodic problems, including the relativistic pendulum ⋮ Stability and exact multiplicity of periodic solutions of Duffing equations with cubic nonlinearities ⋮ Exact multiplicity and stability of periodic solutions for Duffing equation with bifurcation method ⋮ Counting periodic solutions of the forced pendulum equation ⋮ A global solution curve for a class of free boundary value problems arising in plasma physics ⋮ Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions.

Cites Work

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• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• On the use of asymptotics in nonlinear boundary value problems
• On periodic solutions of forced pendulum-like equations
• On the inversion of some differentiable mappings with singularities between Banach spaces
• A Note on the Topological Degree at a Critical Point of Mountainpass-Type

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