Asymptotic Behavior of Solutions of Nonautonomous Difference Equations

✍ Scribed by T. Taniguchi

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 196 KB
• Volume: 184
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1994.1204

✦ Synopsis

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 discrete LaSalle's invariance principle and the discrete Salvadori's theorem. 1994 Academic Press, Inc.