The Minimal Period Problem of Periodic Solutions for Autonomous Superquadratic Second Order Hamiltonian Systems
✍ Scribed by Y.M. Long
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 872 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0022-0396
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📜 SIMILAR VOLUMES
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
We obtain an existence theorem of periodic solutions of non-autonomous second order systems with classical theorems of variational calculus.
Some existence theorems are obtained by the least action principle for periodic solutions of nonautonomous second-order systems with a potential which is the sum of a subconvex function and a subquadratic function.