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Solutions of minimal period for even classical Hamiltonian systems

✍ Scribed by Guihua Fei; Soon-Kyu Kim; Tixiang Wang

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
104 KB
Volume
43
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES

The Minimal Period Problem for Nonconvex
The Minimal Period Problem for Nonconvex Even Second Order Hamiltonian Systems
✍ Guihua Fei; Tixiang Wang πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 252 KB

In this paper, we study the minimal period problem for even autonomous second order Hamiltonian systems defined on ‫ޒ‬ N without any convexity assumption. By using the variational methods, we obtain estimates on the minimal period of the corresponding nonconstant periodic solution of the superquadra

Periodic Solutions of Classical Hamilton
Periodic Solutions of Classical Hamiltonian Systems without Palais–Smale Condition
✍ Guihua Fei; Soon-Kyu Kim; Tixiang Wang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 113 KB

In this paper, we study the existence of periodic solutions for classical Hamiltonian systems without the Palais-Smale condition. We prove that the information of the potential function contained in a finite domain is sufficient for the existence of periodic solutions. Moreover, we establish the exi