Skip Navigation

Journal of the London Mathematical Society 2003 68(2):419-430; doi:10.1112/S0024610703004563
© 2003 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Guo, Z.
Right arrow Articles by Yu, J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The London Mathematical Society

The Existence of Periodic and Subharmonic Solutions of Subquadratic Second Order Difference Equations

Zhiming Guo and Jianshe Yu

Department of Applied Mathematics, Hunan University Changsha, Hunan 410082, China, gzm100{at}21cn.com
Department of Applied Mathematics, Hunan University Changsha, Hunan 410082, China, jsyu{at}hnu.net.cn

Received 5 August 2002. Revision received 20 February 2003.

By critical point theory, a new approach is provided to study the existence of periodic and subharmonic solutions of the second order difference equation


Formula

where f isin C(R x Rm, Rm), f(t+M,z)+f(t,z) for any (t, z)isinR x Rm and M is a positive integer. This is probably the first time critical point theory has been applied to deal with the existence of periodic solutions of difference systems.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.