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EXISTENCE OF SIX SOLUTIONS OF THE NONLINEAR HAMILTONIAN SYSTEM

  • Jung, Tack-Sun ;
  • Choi, Q-Heung
  • Received : 2008.05.07
  • Accepted : 2008.09.01
  • Published : 2008.09.25

Abstract

We give a theorem of existence of six nontrivial solutions of the nonlinear Hamiltonian system $\.{z}$ = $J(H_z(t,z))$. For the proof of the theorem we use the critical point theory induced from the limit relative category of the torus with three holes and the finite dimensional reduction method.

Keywords

Hamiltonian system;critical point theory;limit relative category;$(P.S.)^*_c$ condition;finite dimensional reduction method

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