Asymptotic expansions for higher-order scalar difference equations

Ravi P. Agarwal, M. Pituk

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We give an asymptotic expansion of the solutions of higher-order Poincaré difference equation in terms of the characteristic solutions of the limiting equation. As a consequence, we obtain an asymptotic description of the solutions approaching a hyperbolic equilibrium of a higher-order nonlinear difference equation with sufficiently smooth nonlinearity. The proof is based on the inversion formula for the z-transform and the residue theorem.

Original languageEnglish
Article number67492
JournalAdvances in Difference Equations
Volume2006
DOIs
Publication statusPublished - 2007

Fingerprint

Residue Theorem
z transform
Limiting Equations
Higher order equation
Nonlinear Difference Equations
Inversion Formula
Difference equations
Difference equation
Asymptotic Expansion
Scalar
Nonlinearity
Higher Order
Mathematical transformations

ASJC Scopus subject areas

  • Applied Mathematics
  • Algebra and Number Theory
  • Analysis

Cite this

Asymptotic expansions for higher-order scalar difference equations. / Agarwal, Ravi P.; Pituk, M.

In: Advances in Difference Equations, Vol. 2006, 67492, 2007.

Research output: Contribution to journalArticle

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