Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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HAMILTONIAN SYSTEM WITH THE SUPERQUADRATIC NONLINEARITY AND THE LIMIT RELATIVE CATEGORY THEORY

  • Jung, Tacksun (Department of Mathematics Kunsan National University) ;
  • Choi, Q-Heung (Department of Mathematics Education Inha University)
  • Received : 2014.07.11
  • Accepted : 2014.09.15
  • Published : 2014.09.30
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Abstract

We investigate the number of the weak periodic solutions for the bifurcation problem of the Hamiltonian system with the superquadratic nonlinearity. We get one theorem which shows the existence of at least two weak periodic solutions for this system. We obtain this result by using variational method, critical point theory induced from the limit relative category theory.

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Acknowledgement

Supported by : National Research Foundation of Korea(NRF)

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