Asymptotic Behavior of Difference Equations

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


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.


Asymptotic Behavior Difference Equation Asymptotic Estimate Minimal Solution Characteristic Root 
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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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