Electronic Journal of Differential Equations,
Vol. 1998(1998), No. 05, pp. 1-9.

Title: On the prescribed-period problem for autonomous Hamiltonian systems  

Author: A. A. Zevin  (Transmag Research Institute, Ukraine)

Abstract: Asymptotically quadratic and  subquadratic  autonomous  Hamiltonian
 systems are considered. Lower bounds for the number of periodic solutions
 with a prescribed minimal period are obtained. These bounds are expressed
 in terms of the numbers of frequencies corresponding to the critical  points
 of the Hamiltonian. Results are based on a  global  analysis
 of families of periodic solutions emanating from these points.


Submitted March 3, 1997. Published February 20, 1998.
Math Subject Classification:  58F14, 58F22.
Key Words: Autonomous Hamiltonian system; periodic solutions;
           global analysis; prescribed-period problem.