Existence of Ψ-Bounded Solutions for Linear Matrix Difference Equations on Z+
Author
Suresh, G.
Vasavi, Ch
Rao, T.S.
Murty, M.S.N.
Full text
https://revistas.ufro.cl/ojs/index.php/cubo/article/view/128610.4067/S0719-06462014000100004
Abstract
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+.