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

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  • Yongfang Wang
  • Akbar Zada
  • Nisar Ahmad
  • Dhaou Lassoued
  • Tongxing Li

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 .

Suggested Citation

  • Yongfang Wang & Akbar Zada & Nisar Ahmad & Dhaou Lassoued & Tongxing Li, 2014. "Uniform Exponential Stability of Discrete Evolution Families on Space of -Periodic Sequences," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-4, August.
    • Handle: RePEc:hin:jnlaaa:784289
    DOI: 10.1155/2014/784289
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