[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2013.21.1.81

BOUNDED WEAK SOLUTION FOR THE HAMILTONIAN SYSTEM

Choi, Q-Heung (Department of Mathematics Education Inha University)
Jung, Tacksun (Department of Mathematics Kunsan National University)

Publication Information

Korean Journal of Mathematics / v.21, no.1, 2013 , pp. 81-90 More about this Journal

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.

Keywords

Hamiltonian system; bounded nonlinearity; variational method; critical point theory for indefinite functional; $(P.S.)_c$ condition;

Citations & Related Records

Reference

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