THE MINIMAL PERIOD PROBLEM FOR NONCONVEX EVEN SECOND ORDER HAMILTONIAN SYSTEMS

摘要

In this paper, we study the minimal period problem for even autonomous second order Hamiltonian systems defined on R-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 superquadratic and asymptotically linear Hamiltonian systems. (C) 1997 Academic Press. [References: 23]