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Advances in Continuous and Discrete Models

Theory and Modern Applications

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

Advances in Difference Equations volume 2004, Article number: 146482 (2004) Cite this article

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.

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Authors and Affiliations

  1. Department of Mathematics, Baylor University, Waco, TX, 76798-7328, USA

    Johnny Henderson

  2. Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE, 68588-0323, USA

    Allan Peterson

  3. School of Mathematics, The University of New South Wales, Sydney, NSW, 2052, Australia

    Christopher C Tisdell

Authors
  1. Johnny Henderson
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  2. Allan Peterson
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  3. Christopher C Tisdell
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Correspondence to Johnny Henderson.

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Henderson, J., Peterson, A. & Tisdell, C.C. On the existence and uniqueness of solutions to boundary value problems on time scales. Adv Differ Equ 2004, 146482 (2004). https://doi.org/10.1155/S1687183904308071

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  • DOI: https://doi.org/10.1155/S1687183904308071