On the stability of differential-difference equations
- 1 June 1976
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 19 (3) , 358-370
- https://doi.org/10.1017/s0334270000001211
Abstract
The 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.Keywords
This publication has 3 references indexed in Scilit:
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- A Book of CurvesPublished by Cambridge University Press (CUP) ,1961
- A non-linear difference-differential equation.Journal für die reine und angewandte Mathematik (Crelles Journal), 1955