Summary: International Journal of Difference Equations (IJDE).
ISSN 0973-6069 Volume 3 Number 1 (2008), pp. 3751
© Research India Publications
Global Attractivity for Nonlinear Delay
Douglas R. Anderson
Department of Mathematics and Computer Science,
Concordia College, Moorhead, MN 56562, USA
Conditions under which solutions of a first-order nonlinear variable-delay dynamic
equation go to zero at infinity are given, for arbitrary time scales that are unbounded
above. In two examples, we apply our techniques to dynamic equations on isolated,
unbounded time scales.
AMS subject classification: 39A10.
Keywords: Delay dynamic equation, time scale, attractivity.
1. Introduction to the Delay Dynamic Equation
UtilizingHilger'slandmarkpaper, inwhichheunifies, extends, andgeneralizesideas
from continuous calculus, discrete calculus, and quantum calculus to arbitrary time-scale