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In this article we give some characterizations of exponential stability for a periodic discrete evolution family of bounded linear operators acting on a Banach space in terms of discrete evolution semigroups, acting on a special space of almost periodic sequences. As a result, a spectral mapping theorem is stated.

Akbar Zada, Tongxing Li, Muhammad Arif. (2015) Asymptotic Behavior of Linear Evolution Difference System, , Volume 47, Issue 1.
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