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  • Research Article
  • Open Access

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

  • 1Email author,
  • 2 and
  • 3
Advances in Difference Equations20042004:146482

https://doi.org/10.1155/S1687183904308071

  • Received: 13 August 2003
  • Published:

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, Waco, TX 76798-7328, USA
(2)
Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0323, USA
(3)
School of Mathematics, The University of New South Wales, Sydney, NSW, 2052, Australia

Copyright

© Henderson et al. 2004

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