Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms

DOI10.1007/BF02570749zbMath0666.34045MaRDI QIDQ1117083

Long, Yiming

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174140

zbMATH Keywords

multiple periodic solutionsminimax methodsforced Hamiltonian system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (11)

Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems ⋮ Multiplicity of subharmonic solutions and periodic solutions of a particular type of super-quadratic Hamiltonian systems ⋮ Periodic solutions for a class of first order super-quadratic Hamiltonian system ⋮ Periodic solutions for a class of symmetric and subquadratic Hamiltonian systems ⋮ Infinitely many rotating periodic solutions for second-order Hamiltonian systems ⋮ Periodic solutions of superlinear beam and membrane equations with perturbations from symmetry ⋮ Infinitely many periodic solutions for second order Hamiltonian systems ⋮ Symplectic transformations and periodic solutions of Hamiltonian systems ⋮ Periodic solutions of a wave equation with concave and convex nonlinearities ⋮ Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold ⋮ Periodic solutions of superlinear Dirac equations with perturbations from symmetry

Cites Work

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• Periodic solutions of large norm of Hamiltonian systems
• Forced vibrations of superquadratic Hamiltonian systems
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• On the density of the range for some nonlinear operators
• Existence of forced oscillations for some nonlinear differential equations
• Multiple Critical Points of Perturbed Symmetric Functionals
• Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems

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