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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/971394 |
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| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |