TY - JOUR
A2 - Wang, Qi-Ru
AU - Wang, Yongfang
AU - Zada, Akbar
AU - Ahmad, Nisar
AU - Lassoued, Dhaou
AU - Li, Tongxing
PY - 2014
DA - 2014/08/31
TI - Uniform Exponential Stability of Discrete Evolution Families on Space of -Periodic Sequences
SP - 784289
VL - 2014
AB - We prove that the discrete system ζn+1=Anζn is uniformly exponentially stable if and only if the unique solution of the Cauchy problem ζn+1=Anζn+eiθn+1zn+1, n∈Z+, ζ0=0, is bounded for any real number θ and any p-periodic sequence z(n) with z(0)=0. Here, An is a sequence of bounded linear operators on Banach space X.
SN - 1085-3375
UR - https://doi.org/10.1155/2014/784289
DO - 10.1155/2014/784289
JF - Abstract and Applied Analysis
PB - Hindawi Publishing Corporation
KW -
ER -