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Volume 27, Issue 4
$\boldsymbol{Ψ}$-Bounded Solutions for a System of Difference Equations on $\mathbb{Z}$

Yuliang Han, Baifeng Liu & Xidong Sun

Commun. Math. Res., 27 (2011), pp. 331-342.

Published online: 2021-05

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  • 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 $\boldsymbol{f}(n)$.

  • Keywords

difference equation, $\boldsymbol{Ψ}$-bounded solution, existence.

  • AMS Subject Headings

39A06, 39A22

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
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 -

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 $\boldsymbol{f}(n)$.

Yuliang Han, Baifeng Liu & Xidong Sun. (2021). $\boldsymbol{Ψ}$-Bounded Solutions for a System of Difference Equations on $\mathbb{Z}$. Communications in Mathematical Research . 27 (4). 331-342. doi:
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