Periodic solutions to second order Hamiltonian systems in an unbounded potential well

DOI10.1017/S0308210500021867zbMath0631.34053OpenAlexW2330752759MaRDI QIDQ3767677

Carlo Greco

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500021867

zbMATH Keywords

second order Hamiltonian system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Critical point theorems for indefinite functionals
• Normal modes of a Lagrangian system constrained in a potential well
• Periodic Solutions of Hamiltonian Systems: A Survey
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Some critical point theorems and applications
• Elliptic Partial Differential Equations of Second Order

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