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A note on the global stability of generalized difference equations

โœ Scribed by E. Liz; J.B. Ferreiro

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
347 KB
Volume
15
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In

this note, we prove a discrete analogue of the continuous Halanay inequality and apply it to derive sufficient conditions for the global asymptotic stability of the equilibrium of certain generalized difference equations.

The relation with some numerical schemes for functional delay differential equations is discussed.

๐Ÿ“œ SIMILAR VOLUMES

Global asymptotic stability of a family
Global asymptotic stability of a family of difference equations
โœ Xiaofan Yang; Yuan Yan Tang; Jianqiu Cao ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 236 KB

In this paper, we study the difference equation where ) are all continuous functions. We present a sufficient condition for this difference equation to have a globally asymptotically stable equilibrium c = 1. This condition generalizes some previous results.