Article
Positive solutions of boundary value problems for ordinary differential equations with dependence on higher order derivatives
Communications on Applied Nonlinear Analysis
Document Type
Article
Publication Date
1-1-2017
Abstract
In this paper, the compression contraction fixed point theorem is applied to a right focal boundary value problem for a second order ordinary differential equation to provide sufficient conditions for existence of solutions in a cone. The nonlinear term is a function of three variables and singularities are allowed. A cone is defined in the Banach space C1[0, 1] and concavity of derivatives of solutions plays a key role. A family of examples is provided in which explicit sufficient conditions are exhibited.
Inclusive pages
101-108
ISBN/ISSN
1074-133X
Document Version
Published Version
Peer Reviewed
Yes
Disciplines
Citation Information
Ahlam Abid and Paul Eloe. "Positive solutions of boundary value problems for ordinary differential equations with dependence on higher order derivatives" Communications on Applied Nonlinear Analysis Vol. 24 Iss. 4 (2017) Available at: http://works.bepress.com/paul_eloe/103/
This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.