Eventually positive solutions in rational difference equations

  • Authors:

  • Francisco Balibrea;Antonio Cascales

  • Affiliations:

  • -;-

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2012

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Abstract

Rational Difference Equations (RDEs) are commonly studied restricting their initial conditions to positive values in order to avoid the appearance of forbidden sets. We wonder when non positive initial conditions lead to eventually positive solutions. We introduce the concept of irreducible RDE and study sufficient conditions for an RDE not be uniformly eventually positive outside a bounded set.