Periodic solutions of large norm of Hamiltonian systems

DOI10.1016/0022-0396(83)90083-9zbMath0528.58028OpenAlexW2005966161MaRDI QIDQ786432

Paul H. Rabinowitz

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90083-9

zbMATH Keywords

rapid growth at infinityunbounded sequence of periodic solutions

Mathematics Subject Classification ID

Related Items (20)

Periodic and subharmonic solutions of a class of superquadratic Hamiltonian systems ⋮ Unnamed Item ⋮ Periodic solutions of Hamiltonian systems with superquadratic potential ⋮ Multiplicity of subharmonic solutions and periodic solutions of a particular type of super-quadratic Hamiltonian systems ⋮ Periodic solutions of superquadratic Hamiltonian systems with bounded forcing terms ⋮ Periodic solutions for a class of symmetric and subquadratic Hamiltonian systems ⋮ Morse homology of super-quadratic Hamiltonian systems on \(\mathbb R^{2n}\) ⋮ Periodic solutions of a nonlinear wave equation without assumption of monotonicity ⋮ A variational approach for standing waves of Fitzhugh-Nagumo type systems ⋮ Multiple periodic solutions of a superlinear forced wave equation ⋮ Infinitely many periodic solutions for second order Hamiltonian systems ⋮ Normal modes of a Lagrangian system constrained in a potential well ⋮ On the density of the range for some nonlinear operators ⋮ Symplectic transformations and periodic solutions of Hamiltonian systems ⋮ Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold ⋮ Periodic solutions for non-autonomous Hamiltonian systems possessing super-quadratic potentials ⋮ Brake orbits of super-quadratic Hamiltonian systems ⋮ The Rabinowitz minimal periodic solution conjecture ⋮ Multiple Solutions of Perturbed Superquadratic Second Order Hamiltonian Systems ⋮ Unnamed Item

Cites Work

• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• Periodic solutions of hamiltonian systems
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
• Borsuk-Ulam Theorems for Arbitrary S 1 Actions and Applications
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Unnamed Item
• Unnamed Item

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