On Periodic Solutions of Superquadratic Hamiltonian Systems

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

Rights Holder

Rights License