𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic Behavior of Nonlinear Difference Systems

✍ 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.

✦ 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.


πŸ“œ SIMILAR VOLUMES


Asymptotic Behavior of Solutions of Nona
✍ T. Taniguchi πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 196 KB

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

Perturbations of Nonlinear Systems of Di
✍ Rigoberto Medina πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 127 KB

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.