Open Access

Oscillation and nonoscillation for impulsive dynamic equations on certain time scales

Advances in Difference Equations20062006:060860

DOI: 10.1155/ADE/2006/60860

Received: 1 December 2005

Accepted: 9 March 2006

Published: 7 June 2006

Abstract

We discuss the existence of oscillatory and nonoscillatory solutions for first-order impulsive dynamic equations on time scales with certain restrictions on the points of impulse. We will rely on the nonlinear alternative of Leray-Schauder type combined with a lower and upper solutions method.

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Authors’ Affiliations

(1)
Laboratoire de Mathématiques, Université de Sidi Bel Abbés
(2)
Department of Mathematics, Baylor University

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Copyright

© Mouffak Benchohra et al. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.