CRITERION FOR THE EXPONENTIAL STABILITY OF DISCRETE EVOLUTION FAMILY OVER BANACH SPACES

R. P. Agarwal, Akbar Zada, Nisar Ahmad, Dhaou Lassoued

Abstract


We prove that system ξn+1 = T (1)ξn is uniformly exponentially stable then foreach real number θ  and for each p-periodic sequence z(n) with z(0) =0 the unique solution solution of the Cauchy Problem (T (1), θ , 0) isbounded.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)