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Existence result for periodic solutions of a class of Hamiltonian systems with super quadratic potential

โœ Scribed by Leonard Karshima Shilgba

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
190 KB
Volume
63
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

We have presented a variant existence result for periodic solutions to a class of Hamiltonian systems with a potential which is both super quadratic and sign-indefinite.

๐Ÿ“œ SIMILAR VOLUMES

Existence and multiplicity of periodic s
Existence and multiplicity of periodic solutions for a class of second-order Hamiltonian systems
โœ X.H. Tang; Jianchu Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 335 KB

We study the existence and multiplicity of periodic solutions of the following second-order Hamiltonian system The existence of a nontrivial periodic solution is obtained when โˆ‡W is asymptotically linear at infinity, and the existence of infinitely many periodic solutions is also obtained when โˆ‡W i