@Article{CMR-27-331, author = {Han , YuliangLiu , Baifeng and Sun , Xidong}, title = {$\boldsymbol{Ψ}$-Bounded Solutions for a System of Difference Equations on $\mathbb{Z}$}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {27}, number = {4}, pages = {331--342}, abstract = {

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 $\boldsymbol{f}(n)$.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19077.html} }