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Asymptotic behaviour, nonoscillation and stability in periodic first-order linear delay differential equations

Published online by Cambridge University Press:  14 November 2011

Ch. G. Philos
Ch. G. Philos
Affiliation:
Department of Mathematics, University of Ioannina, P.O. Box 1186, 451 10 Ioannina, Greece e-mail: [email protected]
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Extract

First-order scalar linear delay differential equations with periodic coefficients and constant delays are considered, where the coefficients have a common period and the delays are multiples of this period. A basic asymptotic criterion is given. Moreover, some results on the nonoscillation and on the stability of the trivial solution are obtained. An equation, which is in a sense the characteristic equation, plays an important role in establishing the results of the paper.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 6 , 1998 , pp. 1371 - 1387
Copyright
Copyright © Royal Society of Edinburgh 1998

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