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

István Győri and László Horváth

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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).

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:971394

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