Year: 2011
Author: Yuliang Han, Baifeng Liu, Xidong Sun
Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 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 $\boldsymbol{f}(n)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-CMR-19077
Communications in Mathematical Research , Vol. 27 (2011), Iss. 4 : pp. 331–342
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: difference equation $\boldsymbol{Ψ}$-bounded solution existence.