A new view on one problem of asymptotic behavior of solutions of delay difference equations

L. Shaikhet

Discrete Dynamics in Nature and Society, 2006, vol. 2006, 1-16

Abstract:

One known theorem on the asymptotic behavior of solution of linear delay difference equation is considered where a stability criterion is derived via a positive root of the corresponding characteristic equation. Two new directions for further investigation are proposed. The first direction is connected with a weakening of the known stability criterion; the second one is connected with consideration of negative and complex roots of the characteristic equation. A lot of pictures with stability regions and trajectories of considered processes are presented for visual demonstration of the proposed directions.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:074043

DOI: 10.1155/DDNS/2006/74043

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