Open Access

Boundedness and vanishing of solutions for a forced delay dynamic equation

Advances in Difference Equations20062006:035063

DOI: 10.1155/ADE/2006/35063

Received: 30 March 2006

Accepted: 14 July 2006

Published: 17 October 2006


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.


Authors’ Affiliations

Department of Mathematics and Computer Science, Concordia College


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© Douglas R. Anderson. 2006

This article is published under license to BioMed Central Ltd. 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.