Positive Solutions for a Singular Fourth Order Nonlocal Boundary Value Problem

Author(s)

John M. Davis, Baylor University
Paul W. Eloe (0000-0002-6590-9931), University of DaytonFollow
John R. Graef, University of Tennessee at Chattanooga
Johnny Henderson, Baylor University

Document Type

Article

Publication Date

2016

Publication Source

International Journal of Pure and Applied Mathematics

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

Comments

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.

Copyright

Copyright © 2016, The Author(s)

Publisher

Academic Publications

Volume

109

Issue

1

Peer Reviewed

yes

eCommons Citation

Davis, John M.; Eloe, Paul W.; Graef, John R.; and Henderson, Johnny, "Positive Solutions for a Singular Fourth Order Nonlocal Boundary Value Problem" (2016). Mathematics Faculty Publications. 76.
https://ecommons.udayton.edu/mth_fac_pub/76