Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 103, pp. 1-8.

Title: Asymptotic behavior of solutions to a first-order
       non-homogeneous delay differential equation
       
Author: Qiyuan Zhou (Hunan Univ. of Arts and Science, China)

Abstract: 
 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 $t\to \infty$.
 
Submitted May 20, 2011. Published August 10, 2011.
Math Subject Classifications: 34C12, 39A11.
Key Words: Asymptotic behavior; delay differential equation