Multiple solutions of Hamiltonian systems via limit relative category

DOI10.1016/0377-0427(94)90364-6zbMath0817.58007OpenAlexW2092790389MaRDI QIDQ1342936

Daniela Lupo, Anna Maria Micheletti

Publication date: 31 July 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90364-6

zbMATH Keywords

limit relative categoryHamiltonian systemstrongly indefinite functionallinking

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) Variational principles in infinite-dimensional spaces (58E30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

On a notion of category depending on a functional. II: An application to Hamiltonian systems ⋮ Multiplicity of solutions for elliptic systems with topological methods ⋮ Multiplicity of nontrivial solutions for an asymptotically linear nonlocal Tricomi problem

Cites Work

• Critical point theory and Hamiltonian systems
• A generalized saddle point theorem
• Multiple solutions of the forced double pendulum equation
• Stability of critical points under small perturbations. I: Topological theory
• A geometrical index for the groupS1 and some applications to the study of periodic solutions of ordinary differential equations
• A relative category and applications to critical point theory for strongly indefinite functionals
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