Guihua Fei
Abstract:
We study the existence of periodic solutions for some
asymptotically linear Hamiltonian systems. By using the
Saddle Point Theorem and Conley index theory, we obtain
new results under asymptotically linear conditions.
Submitted September 14, 2001. Published November 19, 2001.
Math Subject Classifications: 58E05, 58F05, 34C25.
Key Words: periodic solution, Hamiltonian systems,
Conley index, Galerkin approximation.
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Guihua Fei Department of Mathematics and statistics University of Minnesota Duluth, MN 55812, USA. e-mail address: gfei@d.umn.edu |
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