Electron. J. Diff. Eqns., Vol. 2005(2005), No. 10, pp. 1-9.

An asymptotic property of solutions to linear nonautonomous delay differential equations

Julio G. Dix, Christos G. Philos, Ioannis K. Purnaras

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.

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Julio G. Dix
Department of Mathematics
Texas State University
601 University Drive
San Marcos, TX 78666, USA
email: julio@txstate.edu
Christos G. Philos
Department of Mathematics
University of Ioannina
P. O. Box 1186, 451 10 Ioannina, Greece
email: cphilos@cc.uoi.gr
Ioannis K. Purnaras
Department of Mathematics
University of Ioannina
P. O. Box 1186, 451 10 Ioannina, Greece
email: ipurnara@cc.uoi.gr

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