Solvability of infinite differential systems of the form \(x' (t) =Tx(t)+b\) where \(T\) is either of the triangles \(C(\lambda)\) or \(\overline{N}_ q\)
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Authors
Ali Fares
- Équipe Algèbre et Combinatoire, EDST, Faculté des sciences-- Section 1, Université libanaise, Hadath, Liban.
Ali Ayad
- Équipe Algèbre et Combinatoire, EDST, Faculté des sciences--Section 1, Université libanaise, Hadath, Liban.
Abstract
In this paper, we are interested in solving infinite linear systems of differential equations of the form \(x' (t) =
Tx (t) + b\) with \(x(0) = x_0\); where \(T\) is either the generalized Cesàro operator \(C (\lambda)\) or the weighted mean
matrix \(\overline{N}_ q, x_0\) and b are two given infinite column matrices and \(\lambda\) is a sequence with non-zero entries. We
use a new method based on Laplace transformations to solve these systems.
Share and Cite
ISRP Style
Ali Fares, Ali Ayad, Solvability of infinite differential systems of the form \(x' (t) =Tx(t)+b\) where \(T\) is either of the triangles \(C(\lambda)\) or \(\overline{N}_ q\), Journal of Nonlinear Sciences and Applications, 5 (2012), no. 6, 448--458
AMA Style
Fares Ali, Ayad Ali, Solvability of infinite differential systems of the form \(x' (t) =Tx(t)+b\) where \(T\) is either of the triangles \(C(\lambda)\) or \(\overline{N}_ q\). J. Nonlinear Sci. Appl. (2012); 5(6):448--458
Chicago/Turabian Style
Fares, Ali, Ayad, Ali. "Solvability of infinite differential systems of the form \(x' (t) =Tx(t)+b\) where \(T\) is either of the triangles \(C(\lambda)\) or \(\overline{N}_ q\)." Journal of Nonlinear Sciences and Applications, 5, no. 6 (2012): 448--458
Keywords
- Infinite linear systems of differential equations
- systems of linear equations
- Laplace operator.
MSC
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