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

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.