Existence of Ψ-Bounded Solutions for Linear Matrix Difference Equations on Z+
-
G. Suresh
drgsk006@kluniversity.in
-
Ch Vasavi
drgsk006@kluniversity.in
-
T.S. Rao
drgsk006@kluniversity.in
-
M.S.N. Murty
drmsn2002@gmail.com
Downloads
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+.
Keywords
Similar Articles
- Takahiro Sudo, Computing the inverse Laplace transform for rational functions vanishing at infinity , CUBO, A Mathematical Journal: Vol. 16 No. 3 (2014): CUBO, A Mathematical Journal
- Toka Diagana, Khalil Ezzinbi, Mohsen Miraoui, Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory , CUBO, A Mathematical Journal: Vol. 16 No. 2 (2014): CUBO, A Mathematical Journal
- Mark A. Pinsky, Asymptotic Solutions of Linear Differential Equations , CUBO, A Mathematical Journal: Vol. 3 No. 1 (2001): CUBO, Matemática Educacional
- Taoufik Chitioui, Khalil Ezzinbi, Amor Rebey, Existence and stability in the α-norm for nonlinear neutral partial differential equations with finite delay , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Carlos Cesar Aranda, On the Poisson‘s equation −∆u = ∞ , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Juan A. Gatica, Fixed Point Theorems with Applications to Differential Equations , CUBO, A Mathematical Journal: Vol. 2 No. 1 (2000): CUBO, Matemática Educacional
- Frank Hansen, Convex Matrix Functions , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- Robert M. Yamaleev, Evolutionary method of construction of solutions of polynomials and related generalized dynamics , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Derek Hacon, Jordan normal form via ODE's , CUBO, A Mathematical Journal: Vol. 4 No. 2 (2002): CUBO, Matemática Educacional
- George Seifert, Functional Differential Equations: An Introduction , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
<< < 4 5 6 7 8 9 10 11 12 13 14 15 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
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.
Issue
Section
Articles
