On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium
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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).
1989 ◽
Vol 12
(3)
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pp. 473-476
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2019 ◽
Vol 8
(6S4)
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pp. 1021-1025
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1991 ◽
Vol 14
(3)
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pp. 611-614
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2021 ◽
Vol 10
(3)
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pp. 1329-1338
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1986 ◽
Vol 9
(3)
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pp. 583-587
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