On Periodic Solutions of Superquadratic Hamiltonian Systems

Date

2002-01-15

Authors

Fei, Guihua

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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

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