Convergence to equilibria in recurrence equations

R. P. Agarwal, M. Pituk

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we deal with linear and nonlinear perturbations of first-order recurrence systems with constant coefficients having infinitely many equilibria. We give sufficient conditions for the asymptotic constancy of the solutions of the perturbed equation. As a consequence of our main theorem, we obtain sufficient conditions for systems of higher-order difference equations to have asymptotic equilibrium.

Original languageEnglish
Pages (from-to)357-368
Number of pages12
JournalComputers and Mathematics with Applications
Volume36
Issue number10-12
Publication statusPublished - Nov 1998

Fingerprint

Recurrence Equations
Convergence to Equilibrium
Difference equations
Nonlinear Perturbations
Higher order equation
Sufficient Conditions
Recurrence
Difference equation
First-order
Coefficient
Theorem

Keywords

  • Asymptotic constancy
  • Asymptotic equilibrium
  • Equilibrium point
  • Recurrence equation
  • Uniform stability

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

Cite this

Convergence to equilibria in recurrence equations. / Agarwal, R. P.; Pituk, M.

In: Computers and Mathematics with Applications, Vol. 36, No. 10-12, 11.1998, p. 357-368.

Research output: Contribution to journalArticle

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