Asymptotic Behavior of Nonlinear Difference Systems
β Scribed by Rigoberto Medina
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 187 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
In this paper we present a theorem on asymptotic behavior of \(W(n, x(n))\) where \(x(n)\) is a solution of the difference equation \(x(n+1)=f(n, x(n)), n \in N^{+}\)and \(W(n, x): N^{+} \times R^{d} \rightarrow R^{+}\)is continuous. As applications we discuss examples which cannot be handled by the
In this paper we study a general variational stability, introduced mainly for non-autonomous difference systems. Under summability conditions, these systems remain stable for general perturbations.