# Consequences of the meromorphic equivalence of standard matrix differential equations.

Publicacions Matemàtiques (1997)

- Volume: 41, Issue: 2, page 613-630
- ISSN: 0214-1493

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topZwiesler, Hans-Joachim. "Consequences of the meromorphic equivalence of standard matrix differential equations.." Publicacions Matemàtiques 41.2 (1997): 613-630. <http://eudml.org/doc/41300>.

@article{Zwiesler1997,

abstract = {In this article we investigate the question [of] how meromorphic differential equations can be simplified by meromorphic equivalence. In the case of equations of block size 1, which generalizes the case of distinct eigenvalues, we identify a class of equations which are simplest possible in the sense that they carry the smallest number of parameters whithin their equivalence classes. We also discuss conditions under which individual equations can be simplified. Particular attention is paid to the requirement that the involved transformations can be explicitly computed.},

author = {Zwiesler, Hans-Joachim},

journal = {Publicacions Matemàtiques},

keywords = {Ecuaciones diferenciales lineales; Función meromorfa; Relaciones de equivalencia; meromorphic differential equations; meromorphic equivalence; reduction theory; isoformal; isomonodromy; standard equations; piecewise algebraic functions},

language = {eng},

number = {2},

pages = {613-630},

title = {Consequences of the meromorphic equivalence of standard matrix differential equations.},

url = {http://eudml.org/doc/41300},

volume = {41},

year = {1997},

}

TY - JOUR

AU - Zwiesler, Hans-Joachim

TI - Consequences of the meromorphic equivalence of standard matrix differential equations.

JO - Publicacions Matemàtiques

PY - 1997

VL - 41

IS - 2

SP - 613

EP - 630

AB - In this article we investigate the question [of] how meromorphic differential equations can be simplified by meromorphic equivalence. In the case of equations of block size 1, which generalizes the case of distinct eigenvalues, we identify a class of equations which are simplest possible in the sense that they carry the smallest number of parameters whithin their equivalence classes. We also discuss conditions under which individual equations can be simplified. Particular attention is paid to the requirement that the involved transformations can be explicitly computed.

LA - eng

KW - Ecuaciones diferenciales lineales; Función meromorfa; Relaciones de equivalencia; meromorphic differential equations; meromorphic equivalence; reduction theory; isoformal; isomonodromy; standard equations; piecewise algebraic functions

UR - http://eudml.org/doc/41300

ER -