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Periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials

โœ Scribed by Xing-Ping Wu; Chun-Lei Tang

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
218 KB
Volume
55
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

Some existence and multiplicity theorems are obtained for periodic solutions of nonautonomous second-order Hamiltonian systems with even-typed potentials by the least action principle and the minimax methods in critical point theory.

๐Ÿ“œ SIMILAR VOLUMES

Periodic solutions of partially superqua
Periodic solutions of partially superquadratic second order Hamiltonian systems
โœ Mei-Yue Jiang ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

We consider the periodic solutions of the Hamiltonian system with V being superquadratic in some directions at infinity. Some theorems on periodic solutions for superquadratic V are generalized.