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Structure of solutions to Fuchsian systems of partial differential equations

Published online by Cambridge University Press:  22 January 2016

Takeshi Mandai
Affiliation:
Research Center for Physics and Mathematics, Osaka Electro-Communication University, 18-8 Hatsu-cho, Neyagawa-shi, Osaka 572-8530, Japan, [email protected]
Hidetoshi Tahara
Affiliation:
Department of Mathematics, Sophia University, 7-1 Kioi-cho, Chiyoda-ku, Tokyo 102-8554, Japan, [email protected]
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2003

References

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