Geodesic
Solvability of infinite differential systems of the form $x' (t) =Tx(t)+b$ where $T$ is either of the triangles $C(\lambda)$ or $\overline{N}_ q$
Fares, Ali1 ; Ayad, Ali2
1 Équipe Algèbre et Combinatoire, EDST, Faculté des sciences-- Section 1, Université libanaise, Hadath, Liban
2 Équipe Algèbre et Combinatoire, EDST, Faculté des sciences--Section 1, Université libanaise, Hadath, Liban
Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 6, p. 448-458.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.005.06.05
Classification : 40C05, 44A10
Keywords: Infinite linear systems of differential equations, systems of linear equations, Laplace operator.

Fares, Ali 1 ; Ayad, Ali 2

1 Équipe Algèbre et Combinatoire, EDST, Faculté des sciences-- Section 1, Université libanaise, Hadath, Liban
2 Équipe Algèbre et Combinatoire, EDST, Faculté des sciences--Section 1, Université libanaise, Hadath, Liban 
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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 its applications, Tome 5 (2012) no. 6, p. 448-458. doi : 10.22436/jnsa.005.06.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.06.05/

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