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 |
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Christos G. Philos Department of Mathematics University of Ioannina P. O. Box 1186, 451 10 Ioannina, Greece email: cphilos@cc.uoi.gr |
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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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