Advances in Difference Equations
Volume 2006 (2006), Article ID 35063, 17 pages

Boundedness and vanishing of solutions for a forced delay dynamic equation

Douglas R. Anderson

Department of Mathematics and Computer Science, Concordia College, Moorhead 56562, MN, USA

Received 30 March 2006; Revised 10 July 2006; Accepted 14 July 2006

Copyright © 2006 Douglas R. Anderson. 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 give conditions under which all solutions of a time-scale first-order nonlinear variable-delay dynamic equation with forcing term are bounded and vanish at infinity, for arbitrary time scales that are unbounded above. A nontrivial example illustrating an application of the results is provided.