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

I. Győri, László Horváth

Research output: Article

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

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Linear Difference Equation
Banach spaces
Difference equations
Periodicity
Linear systems
Mathematical operators
Imply
Difference equation
Linear Operator
Euclidean space
Banach space
Higher Order
First-order
Closed
Range of data

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

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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).",
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