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2013 On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium
István Győri, László Horváth
Abstr. Appl. Anal. 2013(SI28): 1-5 (2013). DOI: 10.1155/2013/971394

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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István Győri. László Horváth. "On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium." Abstr. Appl. Anal. 2013 (SI28) 1 - 5, 2013. https://doi.org/10.1155/2013/971394

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095545
MathSciNet: MR3139438
Digital Object Identifier: 10.1155/2013/971394

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI28 • 2013
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