Electronic Journal of Differential Equations, Vol. 2005(2005), No. 10, pp. 1-9. Title: An asymptotic property of solutions to linear nonautonomous delay differential equations Authors: Julio G. Dix (Texas State Univ., San Marcos, TX, USA) Christos G. Philos (Univ. of Ioannina, Greece) Ioannis K. Purnaras (Univ. of Ioannina, Greece) Abstract: We study first order linear delay differential equations with variable coefficients and constant delays. Using solutions to a characteristic equation, we show asymptotic properties of solutions to the delay equation. To illustrate the hypothesis of the main theorem, we present an example. Submitted July 9, 2004. Published January 12, 2005. Math Subject Classifications: 34K25, 34C10, 35K15. Key Words: Delay differential equation; asymptotic behavior; characteristic equation.