ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS ON TIME SCALES

Authors

Johnny Henderson, Baylor UniversityFollow
Allan C. Peterson, University of Nebraska-LincolnFollow
Christopher C. Tisdell, University of New South WalesFollow

Date of this Version

2004

Citation

Advances in Difference Equations 2004:2 (2004) 93–109

Comments

Copyright © 2004 Hindawi Publishing Corporation

http://dx.doi.org/10.1155/S1687183904308071

Abstract

This work formulates existence, uniqueness, and uniqueness-implies-existence theorems for solutions to two-point vector boundary value problems on time scales. The methods used include maximum principles, a priori bounds on solutions, and the nonlinear alternative of Leray-Schauder.