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Global Asymptotic Stability of Solutions of Nonautonomous Master Equations

✍ Scribed by Earnshaw, Berton A.; Keener, James P.


Book ID
118203627
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
454 KB
Volume
9
Category
Article
ISSN
1536-0040

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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