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Erschienen in:
1999 | OriginalPaper | Buchkapitel
Asymptotic Behavior of Difference Equations
Erschienen in: An Introduction to Difference Equations
Enthalten in: Professional Book Archive
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In Chapters 4 and 5 we were mainly interested in stability questions. In other words, we wanted to know whether solutions of a difference equation converge to zero or to an equilibrium point. In asymptotic theory, we are concerned rather with obtaining asymptotic formulae for the manner in which solutions tend to zero or a constant. We begin this chapter by introducing the reader to the tools of the trade.