## Nagoya Mathematical Journal

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

#### 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

#### 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

#### References

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• H. Tahara, Fuchsian type equations and Fuchsian hyperbolic equations , Japan. J. Math. (N.S.), 5 (1979), 245--347.
• --------, On a Volevič system of singular partial differential equations , J. Math. Soc. Japan, 34 (1982), 279--288.