数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (1): 312-318.doi: 10.1016/S0252-9602(10)60047-1

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HOMOCLINIC ORBITS FOR A CLASS OF THE SECOND ORDER HAMILTONIAN SYSTEMS

  

  1. Department of Mathematics, Southwest University, Chongqing 400715, |China
  • 收稿日期:2006-10-21 修回日期:2008-03-30 出版日期:2010-01-20 发布日期:2010-01-20
  • 基金资助:

    Supported by National Natural Science Foundation of China (10771173).

HOMOCLINIC ORBITS FOR A CLASS OF THE SECOND ORDER HAMILTONIAN SYSTEMS

  1. Department of Mathematics, Southwest University, Chongqing 400715, |China
  • Received:2006-10-21 Revised:2008-03-30 Online:2010-01-20 Published:2010-01-20
  • Supported by:

    Supported by National Natural Science Foundation of China (10771173).

摘要:

The existence of homoclinic orbits is obtained by the variational approach for a class of second order Hamiltonian systems q(t)+  V(t, q(t))=0, where V(t, x)=-K(t,x)+W(t, x), K(t, x) is neither a quadratic form in x nor periodic in t and W(t, x) is superquadratic in x.

关键词: homoclinic orbits, second order Hamiltonian systems, Mountain Pass Theorem

Abstract:

The existence of homoclinic orbits is obtained by the variational approach for a class of second order Hamiltonian systems q(t)+  V(t, q(t))=0, where V(t, x)=-K(t,x)+W(t, x), K(t, x) is neither a quadratic form in x nor periodic in t and W(t, x) is superquadratic in x.

Key words: homoclinic orbits, second order Hamiltonian systems, Mountain Pass Theorem

中图分类号: 

  • 34C37