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Article
A continuation of the discussion on cross symmetry of solutions
Dynamic Systems and Applications
  • Paul W. Eloe, University of Dayton
  • Qin Sheng, University of Dayton
Document Type
Article
Publication Date
1-1-2003
Abstract

In this paper we continue to explore cross-symmetry properties of the solutions of second-order nonlinear boundary value problems on time scales. Dynamic equations under delta and nabla differentiations are considered. It is proven that, by introducing a proper companion problem, the solution of a dynamic equation is cross-symmetric to the solution of the companion problem. Proper jump functions on time scales are utilized. Computational examples are given to further illustrate our conclusions.

Inclusive pages
99-113
ISBN/ISSN
1056-2176
Document Version
Published Version
Comments

Special issue: dynamic equations on time scales

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 Qin Sheng. "A continuation of the discussion on cross symmetry of solutions" Dynamic Systems and Applications Vol. 12 Iss. 1-2 (2003)
Available at: http://works.bepress.com/paul_eloe/22/