On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium

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...

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Bibliographic Details
Main Authors: István Győri, László Horváth
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/971394
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