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Oscillation and nonoscillation for impulsive dynamic equations on certain time scales

Advances in Difference Equations volume 2006, Article number: 060860 (2006) Cite this article

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 and Affiliations

  1. Laboratoire de Mathématiques, Université de Sidi Bel Abbés, BP 89, Sidi Bel Abbés 22000, Algeria

    Mouffak Benchohra & Samira Hamani

  2. Department of Mathematics, Baylor University, Waco, Tx, 76798-7328, USA

    Johnny Henderson

Authors
  1. Mouffak Benchohra
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  2. Samira Hamani
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  3. Johnny Henderson
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Correspondence to Mouffak Benchohra or Johnny Henderson.

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

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Benchohra, M., Hamani, S. & Henderson, J. Oscillation and nonoscillation for impulsive dynamic equations on certain time scales. Adv Differ Equ 2006, 060860 (2006). https://doi.org/10.1155/ADE/2006/60860

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  • DOI: https://doi.org/10.1155/ADE/2006/60860

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