Positive decreasing solutions of higher-order nonlinear difference equations

M. Pituk, B. Krasznai, I. Gyri

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

It is shown that the decay rates of the positive, monotone decreasing solutions approaching the zero equilibrium of higher-order nonlinear difference equations are related to the positive characteristic values of the corresponding linearized equation. If the nonlinearity is sufficiently smooth, this result yields an asymptotic formula for the positive, monotone decreasing solutions.

Original languageEnglish
Article number973432
JournalAdvances in Difference Equations
Volume2010
DOIs
Publication statusPublished - Aug 12 2010

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

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