Periodic solutions for dynamical systems on non-complete Riemannian manifolds

DOI10.1016/J.NA.2005.02.094zbMath1159.58303OpenAlexW1975362907WikidataQ115343319 ScholiaQ115343319MaRDI QIDQ999532

Addolorata Salvatore, Anna Maria Candela

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.094

zbMATH Keywords

periodic solutionvariational methodsdynamical systemLjusternik-Schnirelman categoryRiemannian manifold with convex boundary

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 problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (1)

Periodic orbits on Riemannian manifolds under the action of an at most quadratic potential

Cites Work

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• Periodic trajectories in Gödel type space-times
• Periodic solutions of Lagrangian systems on a compact manifold
• On the existence of closed geodesics on noncompact Riemannian manifolds
• Closed geodesics on non-compact Riemannian manifolds
• Some existence results for dynamical systems on non-complete Riemannian manifolds
• The existence of geodesics joining two given points
• On the existence of infinitely many periodic solutions of non-complete Riemannian manifolds
• Lusternik-Schnirelman theory on Banach manifolds
• Periodic geodesics on compact Riemannian manifolds
• Morse theory on Hilbert manifolds
• Category of loop spaces of open subsets in euclidean space
• Closed geodesics in Riemannian manifolds with convex boundary

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