DYNAMIC SYSTEMS AND APPLICATIONS, vol.18, no.3-4, pp.363-374, 2009 (SCI-Expanded)
Article / Article
DYNAMIC SYSTEMS AND APPLICATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
First-order delay dynamic equations, nonoscillation, oscillation, positive and negative coefficients, time scales
Dokuz Eylül University Affiliated:
In this article, we investigate oscillatory nature of all solutions of a class of delay dynamic equations including positive and negative coefficients. Also we give a nonoscillation criterion for this class of delay dynamic equations. While our results reduce to the well-known oscillation criteria for the particular cases of the time scale, they improve recent results on arbitrary time scales. Further, we give some illustrating examples as applications of our results.