Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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BOUNDED WEAK SOLUTION FOR THE HAMILTONIAN SYSTEM

  • Choi, Q-Heung (Department of Mathematics Education Inha University) ;
  • Jung, Tacksun (Department of Mathematics Kunsan National University)
  • Received : 2013.02.19
  • Accepted : 2013.03.20
  • Published : 2013.03.30
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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

Acknowledgement

Supported by : Inha University

References

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