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On asymptotic behaviour of solutions of stochastic difference equations

✍ Scribed by Alexandra Rodkina

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 373 KB
Volume: 47
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(01)00584-3

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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