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On the asymptotic behaviour of solutions of integer valued difference equations

✍ Scribed by Jerzy Popenda; Ewa Schmeidel

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 265 KB
Volume: 30
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(97)00103-x

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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