Asymptotic Behavior of Difference Equations

  • Saber N. Elaydi
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

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.

Keywords

Asymptotic Behavior Difference Equation Asymptotic Estimate Minimal Solution Characteristic Root 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Saber N. Elaydi
    • 1
  1. 1.Department of MathematicsTrinity UniversitySan AntonioUSA

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