On Periodic Solutions of Superquadratic Hamiltonian Systems
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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. Electronic Journal of Differential Equations, 2002(08), pp. 1-12.
Rights
Attribution 4.0 International