A necessary and sufficient condition for the existence of a bounded nonoscillatory solution is given.
Asymptotic behavior of delay difference systems
โ Scribed by Zhan Zhou; Jianshe Yu; Lihong Huang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 466 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
This paper is concerned with a delay difference system
where Ic is a positive integer, and f is a signal transmission function of McCulloch-Pitts type. The difference system (*) can be regarded as the discrete analog of the artifical neural network of two neurons with McCulloch-Pitts nonlinearity. Some interesting results are obtained for the asymptotic behavior of the system (*).
๐ SIMILAR VOLUMES
In this paper we study a general variational stability, introduced mainly for weakly stable difference systems. Moreover, we obtain asymptotic formulae for these systems, which state new results about asymptotic behavior for perturbed systems under general hypotheses.
The asymptotic behavior of the solutions of a class of functional-difference equations is studied. The results obtained, which are applied to delay difference equations and summary difference equations, give good estimates and explicit radius of attraction. ~
The aim of this paper is to obtain an asymptotic formula for each solution of a l 2 -perturbed linear delay difference system. The results obtained here extend some earlier results for ordinary difference equations and are parallel to some recent results for delay differential equations.