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Article
Optimal intervals for uniqueness of solutions for nonlocal boundary value problems
Communications on Applied Nonlinear Analysis
  • Paul W. Eloe, University of Dayton
  • Johnny Henderson, Baylor University
Document Type
Article
Publication Date
1-1-2011
Abstract

For the nth order differential equation (see PDF for equation) we obtain optimal bounds on the length of intervals on which solutions are unique for certain nonlocal three point boundary value problems. These bounds are obtained through an application of the Pontryagin Maximum Principle from the theory of optimal control.

Inclusive pages
89-97
ISBN/ISSN
1074-133X
Document Version
Published Version
Comments

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.

Peer Reviewed
Yes
Disciplines
Citation Information
Paul W. Eloe and Johnny Henderson. "Optimal intervals for uniqueness of solutions for nonlocal boundary value problems" Communications on Applied Nonlinear Analysis Vol. 18 Iss. 3 (2011)
Available at: http://works.bepress.com/paul_eloe/89/