Electron. J. Diff. Equ., Vol. 2011 (2011), No. 103, pp. 1-8.

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

Qiyuan Zhou

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

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Qiyuan Zhou
College of Mathematics and Computer Science
Hunan University of Arts and Science
Changde, Hunan 415000, China
email: zhouqiyuan65@yahoo.com.cn

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