Skip Navigation


Bulletin of the London Mathematical Society Advance Access originally published online on January 21, 2009
Bulletin of the London Mathematical Society 2009 41(1):72-78; doi:10.1112/blms/bdn105
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
41/1/72    most recent
bdn105v1
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 Cid, J. A.
Right arrow Articles by Minhós, F.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 London Mathematical Society

Positive fixed points and fourth-order equations

J. A. Cid

Departamento de Matemáticas
Universidad de Jaén
Campus Las Lagunillas, Ed. B3
Jaén 23071
Spain
angelcid@ujaen.es

D. Franco

Departamento de Matemática Aplicada U.N.E.D.
c/ Juan del Rosal 12
Madrid 28040
Spain

F. Minhós

Departamento de Matemática
Universidade de Évora
Centro de Investigação em Matemática e Aplicações da U.E. (CIMA-UE)
Rua RomãoRamalho 59
Évora 7000-671
Portugal
fminhos@uevora.pt

Received 15 April 2008. Revision received 7 June 2008.

This work presents sufficient conditions for the existence of at least one positive solution for a nonlinear fourth-order beam equation under Lidstone boundary conditions. The main tool used is a fixed point theorem that essentially combines the monotone iterative technique with fixed point theorems of cone expansion or compression type. The last section contains two examples that complement some related results existent in the literature.

2000 Mathematics Subject Classification 34B18 (primary), 34B15, 34L30 (secondary).

This research was partially supported by Integrated Action HP2005-0098. The first author was partially supported by Ministerio de Educación y Ciencia, Spain, project MTM2007-61724, and by Xunta de Galicia, Spain, project PGIDIT06PXIB207023PR. The second author was partially supported by Ministerio de Educación y Ciencia, Spain, project MTM2004-06652-C03-03. The third author was partially supported by CRUP, Acção E-99/06.


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.