Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (2): 313-326.doi: 10.1016/S0252-9602(09)60032-1

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THE EXISTENCE OF NONTRIVIAL SOLUTIONS OF HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS

  

  1. School of Mathematics, Nankai University, Tianjin 300071, Chi
  • Received:2006-11-21 Revised:2007-08-10 Online:2009-03-20 Published:2009-03-20
  • Supported by:

    Partially supported by the National Natural Science Foundation of China and 973 Program of STM.

Abstract:

Some theorems are obtained for the existence of nontrivial solutions of Hamil-tonian systems with Lagrangian boundary conditions by the minimax methods.

Key words: Nontrivial solution, Hamiltonian systems, Lagrangian boundary conditions,  subquadratic condition, superquadratic condition

CLC Number: 

  • 58F05
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