DELAY DYNAMIC EQUATIONS WITH STABILITY

Authors

Douglas R. Anderson, Concordia College - MoorheadFollow
Robert J. Krueger, Concordia University, St. Pau, MinnesotalFollow
Allan C. Peterson, University of Nebraska-LincolnFollow

Date of this Version

2006

Citation

Volume 2006, Article ID 94051, Pages 1–19

Comments

Copyright © 2006 Douglas R. Anderson et al.

This is an open access article

DOI 10.1155/ADE/2006/94051

Abstract

We first give conditions which guarantee that every solution of a first order linear delay dynamic equation for isolated time scales vanishes at infinity. Several interesting examples are given. In the last half of the paper, we give conditions under which the trivial solution of a nonlinear delay dynamic equation is asymptotically stable, for arbitrary time scales.