Asymptotic behavior of solutions to a first-order non-homogeneous delay differential equation

In this article, we study the asymptotic behavior of solutions to the delay differential equation $$ x'(t)=f(t,x(t),x(t-r(t))),. $$ It is shown that every solution tends to either $infty$ or a constant as $to infty$.

Bibliographic Details
Main Author: Qiyuan Zhou
Format: Article
Language:English
Published: Texas State University 2011-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/103/abstr.html