## Nagoya Mathematical Journal

- Nagoya Math. J.
- Volume 169 (2003), 1-17.

### Structure of solutions to Fuchsian systems of partial differential equations

Takeshi Mandai and Hidetoshi Tahara

#### Abstract

To a certain Volevič system of singular partial differential equations, called a Fuchsian system, all the solutions of the homogeneous equation in a complex domain are constructed and parametrized in a good way, without any assumption on the characteristic exponents.

#### Article information

**Source**

Nagoya Math. J., Volume 169 (2003), 1-17.

**Dates**

First available in Project Euclid: 27 April 2005

**Permanent link to this document**

https://projecteuclid.org/euclid.nmj/1114631808

**Mathematical Reviews number (MathSciNet)**

MR1962522

**Zentralblatt MATH identifier**

1049.35006

**Subjects**

Primary: 35A20: Analytic methods, singularities

Secondary: 33B30: Higher logarithm functions 35C15: Integral representations of solutions

#### Citation

Mandai, Takeshi; Tahara, Hidetoshi. Structure of solutions to Fuchsian systems of partial differential equations. Nagoya Math. J. 169 (2003), 1--17. https://projecteuclid.org/euclid.nmj/1114631808