This paper deals with obtaining necessary and sufficient conditions for the existence of at least one Ψ-bounded solution for the linear matrix difference equation X(n + 1) = A(n)X(n)B(n) + F(n), where F(n) is a Ψ-summable matrix valued function on Z+. Finally, we prove a result relating to the asymptotic behavior of the Ψ-bounded solutions of this equation on Z+.
@article{1286,
title = {Existence of $\Psi$-Bounded Solutions for Linear Matrix Difference Equations on Z+},
journal = {CUBO, A Mathematical Journal},
volume = {16},
year = {2014},
language = {en},
url = {http://dml.mathdoc.fr/item/1286}
}
Suresh, G.; Vasavi, Ch; Rao, T.S.; Murty, M.S.N. Existence of Ψ-Bounded Solutions for Linear Matrix Difference Equations on Z+. CUBO, A Mathematical Journal, Tome 16 (2014) . http://gdmltest.u-ga.fr/item/1286/