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Periodic solutions of Lagrangian systems on a compact manifold

โœ Scribed by Vieri Benci


Book ID
107792101
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
970 KB
Volume
63
Category
Article
ISSN
0022-0396

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Periodic solutions for singular Hamilton
โœ Kazunaga Tanaka ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 206 KB

We study the existence of periodic solutions of singular Hamiltonian systems as well as closed geodesics on non-compact Riemannian manifolds via variational methods. For Hamiltonian systems, we show the existence of a periodic solution of prescribed-energy problem: