Reduction of the modified Poincaré differential equation to Birkhoff matrix form
Archivum mathematicum, Tome 37 (2001) no. 2, pp. 103-113
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
In this paper the reduction of the modified Poincaré linear differential equation with one $n$-tuple regular singularity to the Birkhoff canonical matrix form is given.
In this paper the reduction of the modified Poincaré linear differential equation with one $n$-tuple regular singularity to the Birkhoff canonical matrix form is given.
Classification :
15A18, 34A25, 34A30, 34C20
Keywords: reduction; modified Poincaré differential equation; Birkhoff matrix form
Keywords: reduction; modified Poincaré differential equation; Birkhoff matrix form
@article{ARM_2001_37_2_a1,
author = {Risteski, Ice B.},
title = {Reduction of the modified {Poincar\'e} differential equation to {Birkhoff} matrix form},
journal = {Archivum mathematicum},
pages = {103--113},
year = {2001},
volume = {37},
number = {2},
mrnumber = {1838407},
zbl = {1090.34005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2001_37_2_a1/}
}
Risteski, Ice B. Reduction of the modified Poincaré differential equation to Birkhoff matrix form. Archivum mathematicum, Tome 37 (2001) no. 2, pp. 103-113. http://geodesic.mathdoc.fr/item/ARM_2001_37_2_a1/
[1] Risteski, I. B.: A Simple Reduction of the Poincaré Differential Equation to Cauchy Matrix Form. Missouri J. Math. Sci. 11 (1999), 4–9. | MR | Zbl
[2] Turrittin, H. L.: Reduction of Ordinary Differential Equation to Birkhoff Canonical Form. Trans. Amer. Math. Soc. 107 (1963), 485–507. | DOI | MR