EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+

EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+

This paper deals with obtaining necessary and sufficient conditions for the existence of at least one -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 relati...

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Detalles Bibliográficos
Autores principales: Kumar,G. Suresh, Vasavi,Ch, Rao,T.S, Murty,M.S.N
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2014
Materias:
Difference Equations
Fundamental Matrix
Ψ-bounded
Ψ-summable
Kronecker product
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100004
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Sumario:This paper deals with obtaining necessary and sufficient conditions for the existence of at least one -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+.

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