On a Difference-Delay Equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2000 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 247, pages 608-626 (issn: 0022-247X,

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Authors: Davies, Roy O.; Ostaszewski, A.J.;

doi: 10.1006/jmaa.2000.6893

On a Difference-Delay Equation

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Abstract

The behaviour of continuous real solutions \(f(t)\) to the equation \[ f(t)=a_1f(t+h_1) +a_2f(t+h_2) \] and its dependence on the real positive constants \(a_1,a_2, h_1,h_2\) is studied. Definite answers are given except in the case \(h_1/h_2\) is rational.

Related Organizations

London School of Economics and Political Science
United Kingdom
University of Leicester
United Kingdom

Keywords

Applied Mathematics, difference-delay equation, parameter dependence, continuous real solutions, Additive difference equations, Analysis

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