Skip to main content

Theory and Modern Applications

  • Research Article
  • Open access
  • Published:

Periodic boundary value problems on time scales


We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prove the existence of the solutions and then we investigate a monotone iterative method which could generate some of them. Since this method does not work on each time scale, a condition containing a Lipschitz constant of right-hand side function and the supremum of the graininess function is introduced.

Author information

Authors and Affiliations


Corresponding author

Correspondence to Petr Stehlík.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Stehlík, P. Periodic boundary value problems on time scales. Adv Differ Equ 2005, 141356 (2005).

Download citation

  • Received:

  • Published:

  • DOI: