Advances in Difference Equations
Volume 2008 (2008), Article ID 458687, 12 pages
Iterated Oscillation Criteria for Delay Dynamic Equations of First Order
1Department of Economics and Finance, Missouri University of Science and Technology, Rolla, MO 65409-0020, USA
2Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, ANS Campus, 03200 Afyonkarahisar, Turkey
Received 9 June 2008; Accepted 4 December 2008
Academic Editor: John Graef
Copyright © 2008 M. Bohner et al. 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.
We obtain new sufficient conditions for the oscillation of all solutions of first-order delay dynamic equations on arbitrary time scales, hence combining and extending results for corresponding differential and difference equations. Examples, some of which coincide with well-known
results on particular time scales, are provided to illustrate the
applicability of our results.