Periodic solutions of dynamical systems by a saddle point theorem of Rabinowitz

DOI10.1016/0362-546X(89)90089-8zbMath0729.58044OpenAlexW2081798241MaRDI QIDQ3353853

Fabio Giannoni

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90089-8

zbMATH Keywords

periodic solutionsPalais-Smale conditionlinkingsaddle point theoremperiodic Hamiltonian system

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (7)

Non-autonomous second order Hamiltonian systems ⋮ Existence of T-periodic solutions for a class of Lagrangian systems ⋮ Heteroclinic solutions for the extended Fisher-Kolmogorov equation ⋮ Subharmonic solutions for nonautonomous sublinear second order Hamiltonian systems ⋮ Existence of T-periodic solutions for a class of Lagrangian systems ⋮ Subharmonic solutions of a nonconvex noncoercive Hamiltonian system ⋮ Multiple critical points for indefinite functionals and applications

Cites Work

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• Periodic solutions of dynamical systems
• Critical points with lack of compactness and singular dynamical systems
• Periodic solutions of dynamical systems with bounded potential
• Periodic solutions of Lagrangian systems with bounded potential
• Critical point theorems for indefinite functionals
• T-periodic solutions of time dependent Hamiltonian systems with a potential vanishing at infinity
• Subharmonic oscillations of convex Hamiltonian systems
• On subharmonic solutions of hamiltonian systems
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations

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