Uniform Exponential Stability of Discrete Evolution Families on Space of -Periodic Sequences

Yongfang Wang, Akbar Zada, Nisar Ahmad, Dhaou Lassoued and Tongxing Li

Abstract and Applied Analysis, 2014, vol. 2014, 1-4

Abstract:

We prove that the discrete system is uniformly exponentially stable if and only if the unique solution of the Cauchy problem , , is bounded for any real number and any -periodic sequence with . Here, is a sequence of bounded linear operators on Banach space .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:784289

DOI: 10.1155/2014/784289

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