TY - JOUR
T1 - $\boldsymbol{Ψ}$-Bounded Solutions for a System of Difference Equations on $\mathbb{Z}$
AU - Han , Yuliang
AU - Liu , Baifeng
AU - Sun , Xidong
JO - Communications in Mathematical Research 
VL - 4
SP - 331
EP - 342
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19077.html
KW - difference equation, $\boldsymbol{Ψ}$-bounded solution, existence.
AB - <p style="text-align: justify;">In this work we discuss the existence of $\boldsymbol{Ψ}$-bounded solutions for linear
difference equations. We present a necessary and sufficient condition for the existence
of $\boldsymbol{Ψ}$-bounded solutions for the linear nonhomogeneous difference equation $\boldsymbol{x}(n+1) =
\boldsymbol{A}(n) \boldsymbol{x}(n) + \boldsymbol{f}(n)$ for every $\boldsymbol{Ψ}$-bounded sequence $\boldsymbol{f}(n)$.</p>