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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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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spelling oai:scielo:S0719-064620140001000042018-10-08EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+Kumar,G. SureshVasavi,ChRao,T.SMurty,M.S.N Difference Equations Fundamental Matrix Ψ-bounded Ψ-summable Kronecker product 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+.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.16 n.1 20142014-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100004en10.4067/S0719-06462014000100004
institution Scielo Chile
collection Scielo Chile
language English
topic Difference Equations
Fundamental Matrix
Ψ-bounded
Ψ-summable
Kronecker product
spellingShingle Difference Equations
Fundamental Matrix
Ψ-bounded
Ψ-summable
Kronecker product
Kumar,G. Suresh
Vasavi,Ch
Rao,T.S
Murty,M.S.N
EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+
description 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+.
author Kumar,G. Suresh
Vasavi,Ch
Rao,T.S
Murty,M.S.N
author_facet Kumar,G. Suresh
Vasavi,Ch
Rao,T.S
Murty,M.S.N
author_sort Kumar,G. Suresh
title EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+
title_short EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+
title_full EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+
title_fullStr EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+
title_full_unstemmed EXISTENCE OF Ψ-BOUNDED SOLUTIONS FOR LINEAR MATRIX DIFFERENCE EQUATIONS ON Z+
title_sort existence of Ψ-bounded solutions for linear matrix difference equations on z+
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2014
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462014000100004
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