On the stability of differential-difference equations-Reference-Cited by-同舟云学术

On the stability of differential-difference equations

Published:1976-06 Issue:3 Volume:19 Page:358-370
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Braddock R. D.,Van Den Driessche P.

Abstract

AbstractThe local properties of non-linear differential-difference equations are investigated by considering the location of the roots of the eigen-equation derived from the lineraised approximation of the original model. A general linear system incorporating one time delay is considered and local stability results are obtained for cases in which the coefficient matrices satisfy certain assumptions. The results have applications to recent Biological and Economic models incorporating time lags.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference8 articles.

1. A nonlinear difference-differential equation;Wright;J. Reine Angew. Math.,1955

2. A Book of Curves

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