Korean J. Math. Vol. 21 No. 1 (2013) pp.81-90
DOI: https://doi.org/10.11568/kjm.2013.21.1.81

BOUNDED WEAK SOLUTION FOR THE HAMILTONIAN SYSTEM

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Q-Heung Choi
Tacksun Jung

Abstract

We investigate the bounded weak solutions for the Hamiltonian system with bounded nonlinearity decaying at the origin and periodic condition. We get a theorem which shows the existence of the bounded weak periodic solution for this system. We obtain this result by using variational method, critical point theory for indefinite functional.



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