Periodic solutions of Lagrangian systems with bounded potential
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Publication:1114841
DOI10.1016/0022-247X(87)90009-6zbMath0664.34053MaRDI QIDQ1114841
Alberto Capozzi, Donato Fortunato, Addolorata Salvatore
Publication date: 1987
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
existenceperiodic solutionsfree oscillationsforced oscillationsLagrangian systemsprescribed minimal periodbounded potential.Zbl 0561.58006double-pendulummultiple free oscillations
Related Items (18)
Critical points with lack of compactness and singular dynamical systems ⋮ Five periodic solutions for a class of subquadratic second-order even Hamiltonian systems ⋮ On periodic solutions to Lagrangian system with singularities and constraints ⋮ Poincaré–Birkhoff results for Lagrangian systems with subquadratic potential ⋮ Multiple minimal periodic solutions for subquadratic second-order Hamiltonian systems ⋮ Remarks on Forced Equations of the Double Pendulum Type ⋮ New proof and generalizations of the Demidowitsch–Schneider criterion ⋮ Multiple forced rotational solutions for the planar \(N\)-pendulum equation ⋮ Existence of T-periodic solutions for a class of Lagrangian systems ⋮ Solutions with minimal period for non-autonomous second-order Hamiltonian systems ⋮ Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation ⋮ Periodic solutions to Lagrangian system ⋮ Periodic solutions of dynamical systems by a saddle point theorem of Rabinowitz ⋮ On Periodic Solutions to Constrained Lagrangian System ⋮ Existence of T-periodic solutions for a class of Lagrangian systems ⋮ Multiple solutions of the forced double pendulum equation ⋮ Lagrangian Systems in the Presence of Singularities ⋮ On the existence of minimal periodic solutions for a class of second-order Hamiltonian systems
Cites Work
- Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
- Periodic solutions of Hamiltonian systems with superquadratic potential
- Periodic solutions of a nonlinear wave equation without assumption of monotonicity
- Dual variational methods in critical point theory and applications
- Normal modes of a Lagrangian system constrained in a potential well
- Periodic motions of coupled simple pendulums with periodic disturbances
- Une généralisation de théorèmes de J. A. Marlin
- Periodic Solutions of Hamiltonian Systems: A Survey
- Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
- Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz
- On Periodic Solutions of Autonomous Hamiltonian Systems of Ordinary Differential Equations
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