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The differential-difference equation w'(s) = g(s)[w(s-l)-w(s)]

Published online by Cambridge University Press:  14 February 2012

Gillian L. Slater
Gillian L. Slater
Affiliation:
Department of Mathematics, Polytechnic of the South Bank. London
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Extract

This paper is concerned with the asymptotic behaviour of solutions of the differential-difference equation w'(s) = g(s)[w(s— 1)—w(s)], where g(s) is a continuous real-valued function. g(s) is assumed to have one of the following asymptotic behaviours: algebraic, exponential algebraic, periodic or zero.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 78 , Issue 1-2 , 1977 , pp. 41 - 55
Copyright
Copyright © Royal Society of Edinburgh 1977

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