Article
Positive Solutions for a Singular Fourth Order Nonlocal Boundary Value Problem
International Journal of Pure and Applied Mathematics
Document Type
Article
Publication Date
1-1-2016
Abstract
Positive solutions are obtained for the fourth order nonlocal boundary value problem, u(4)=f(x,u), 0 < x < 1, u(0) = u''(0) = u'(1) = u''(1) - u''(2/3)=0, where f(x,u) is singular at x = 0, x=1, y=0, and may be singular at y=∞. The solutions are shown to exist at fixed points for an operator that is decreasing with respect to a cone.
Inclusive pages
67 - 84
ISBN/ISSN
1311-8080
Document Version
Published Version
Copyright
Copyright © 2016, The Author(s)
Publisher
Academic Publications
Peer Reviewed
Yes
Disciplines
Citation Information
John M. Davis, Paul W. Eloe, John R. Graef and Johnny Henderson. "Positive Solutions for a Singular Fourth Order Nonlocal Boundary Value Problem" International Journal of Pure and Applied Mathematics Vol. 109 Iss. 1 (2016) Available at: http://works.bepress.com/paul_eloe/93/
This document has been made available for download in accordance with the publisher's policy on open access.
DOI: https://doi.org/10.12732/ijpam.v109i1.6
Permission documentation on file.