220
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Periodic solutions for second-order discrete Hamiltonian systems

&
Pages 1413-1430 | Received 24 Apr 2009, Accepted 14 Dec 2009, Published online: 16 May 2011

References

  • Guo , Z.M. and Yu , J.S. 2003 . Existence of periodic and subharmonic solutions for second-order superlinear difference equations . Sci. China A , 46 : 506 – 515 .
  • Guo , Z.M. and Yu , J.S. 2003 . The existence of periodic and subharmonic solutions to subquadratic second-order difference equations . J. Lond. Math. Soc. , 68 : 419 – 430 .
  • Ma , J. and Tang , C.L. 2002 . Periodic solution of a class of non-autonomous second order systems . J. Math. Anal. Appl. , 275 : 482 – 494 .
  • Mawhin , J. and Willem , M. 1989 . Critical Point Theory and Hamiltonian Systems , New York : Springer-Verlag .
  • Rabinowitz , P.H. 1986 . “ Minimax methods in critical point theory with applications to differential equations ” . In CBMS Regional Conference Series in Mathematics , Vol. 65 , Providence, RI : American Mathematical Society .
  • Tang , C.L. 1996 . Periodic solution of non-autonomous second order system . J. Math. Anal. Appl. , 202 : 465 – 469 .
  • Wu , X.P. and Tang , C.L. 1999 . Periodic solution of a class of non-autonomous second order systems . J. Math. Anal. Appl. , 236 : 227 – 235 .
  • Xue , Y.F. and Tang , C.L. 2006 . Existence and multiplicity of periodic solution for second-order discrete Hamiltonian systems . J. Southwest China Normal Uni. (Nat. Sci.) , 31 ( 1 ) : 7 – 12 .
  • Xue , Y.F. and Tang , C.L. 2007 . Existence of a periodic solution for subquadratic second-order discrete Hamiltonian system . Nonlinear Anal. , 67 : 2072 – 2080 .
  • Zhao , F.Z. and Wu , X. 2004 . Periodic solution for class of non-autonomous second order systems . J. Math. Anal. Appl. , 296 : 422 – 434 .
  • Zhou , Z. , Yu , J.S. and Guo , Z.M. 2004 . Periodic solutions of higher-dimensional discrete systems . Proc. Roy. Soc. Edinb. , 134A : 1013 – 1022 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.