On Periodic Solutions of Superquadratic Hamiltonian Systems
Files
Date
2002-01-15
Authors
Fei, Guihua
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the existence of periodic solutions for some Hamiltonian systems ż = JH<sub>z</sub>(t, z) under new superquadratic conditions which cover the case H(t, z) = |z|2 (ln(1 + |z|p))q with p,q > 1. By using the linking theorem, we obtain some new results.
Description
Keywords
Periodic solution, Hamiltonian system, Linking theorem
Citation
Fei, G. (2002). On periodic solutions of superquadratic Hamiltonian systems. <i>Electronic Journal of Differential Equations, 2002</i>(08), pp. 1-12.
Rights
Attribution 4.0 International