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

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 $to infty$.

Keywords

• Asymptotic behavior
• delay differential equation