Existence of Ψ-Bounded Solutions for Linear Matrix Difference Equations on Z+
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G. Suresh
drgsk006@kluniversity.in
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Ch Vasavi
drgsk006@kluniversity.in
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T.S. Rao
drgsk006@kluniversity.in
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M.S.N. Murty
drmsn2002@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462014000100004Abstract
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+.
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Published
2014-03-01
How to Cite
[1]
G. Suresh, C. Vasavi, T. Rao, and M. Murty, “Existence of Ψ-Bounded Solutions for Linear Matrix Difference Equations on Z+”, CUBO, vol. 16, no. 1, pp. 37–48, Mar. 2014.
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