Open Access

On the existence and uniqueness of solutions to boundary value problems on time scales

  • Johnny Henderson1Email author,
  • Allan Peterson2 and
  • Christopher C Tisdell3
Advances in Difference Equations20042004:146482

https://doi.org/10.1155/S1687183904308071

Received: 13 August 2003

Published: 13 May 2004

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.

Authors’ Affiliations

(1)
Department of Mathematics, Baylor University
(2)
Department of Mathematics, University of Nebraska-Lincoln
(3)
School of Mathematics, The University of New South Wales

Copyright

© Henderson et al. 2004