On linear difference equations for which the global periodicity implies the existence of an equilibrium

István Gyri, László Horváth

Research output: Contribution to journalArticle

Abstract

It is proved that any first-order globally periodic linear inhomogeneous autonomous difference equation defined by a linear operator with closed range in a Banach space has an equilibrium. This result is extended for higher order linear inhomogeneous system in a real or complex Euclidean space. The work was highly motivated by the early works of Smith (1934, 1941) and the papers of Kister (1961) and Bas (2011).

Original languageEnglish
Article number971394
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - 2013

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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