Existence of $\Psi$-bounded solutions for linear difference equations on $\mathbb{Z}$

In this paper, we give a necessary and sufficient condition for the existence of $\Psi$-bounded solutions for the nonhomogeneous linear difference equation x(n + 1) = A(n)x(n) + f(n) on $\mathbb{Z}$. In addition, we give a result in connection with the asymptotic behavior of the $\Psi$-bounded solut...

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Bibliographic Details
Main Author: Aurel Diamandescu
Format: Article
Language:English
Published: University of Szeged 2008-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=340