Advances in Difference Equations
Volume 2008 (2008), Article ID 458687, 12 pages
doi:10.1155/2008/458687

Iterated oscillation criteria for delay dynamic equations of first order

M. Bohner1 , B. Karpuz2 and Ö. Öcalan2

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

Abstract

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.