Advances in Difference Equations
Volume 2006 (2006), Article ID 35063, 17 pages
doi:10.1155/ADE/2006/35063
Boundedness and vanishing of solutions for a forced delay dynamic equation
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.
Abstract
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.