Forced second order conservative systems with periodic nonlinearity

DOI10.1016/S0294-1449(17)30032-XzbMath0688.70019MaRDI QIDQ1264018

Jean Mawhin

Publication date: 1989

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1989__S6__415_0

Mathematics Subject Classification ID

Orbital mechanics (70M20) Free motions in linear vibration theory (70J30)

Related Items (13)

Multiple solutions for strongly resonant periodic systems ⋮ Solutions and multiple solutions for second order periodic systems with a nonsmooth potential ⋮ Periodic solutions of Hamiltonian systems coupling twist with generalized lower/upper solutions ⋮ An extension of the Poincaré-Birkhoff theorem coupling twist with lower and upper solutions ⋮ A vector p-Laplacian type approach to multiple periodic solutions for the p-relativistic operator ⋮ Generic results for the existence of nondegenerate periodic solutions of some differential systems with periodic nonlinearities ⋮ Nonlinear ordinary boundary value problems under a combined effect of periodic and attractive nonlinearities ⋮ A higher dimensional Poincaré-Birkhoff theorem for Hamiltonian flows ⋮ On the periodic nonlinearity and the multiplicity of solutions ⋮ Branches of index-preserving solutions to systems of second order ODEs ⋮ Periodic Solutions of Differential and Difference Systems with Pendulum-Type Nonlinearities: Variational Approaches ⋮ Asymptotic analysis of oscillating parametric integrals and ordinary boundary value problems at resonance ⋮ Periodic perturbations of a class of resonant problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple solutions of the periodic boundary value problem for some forced pendulum-type equations
• Critical point theory and Hamiltonian systems
• On the variational principle
• Lusternik-Schnirelman theory on Banach manifolds
• Periodic motions of coupled simple pendulums with periodic disturbances
• On the solvability of an equation describing the periodic motions of a satellite in its elliptic orbit
• Note on a differential equation describing the periodic motion of a satellite in its elliptical orbit

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