Structure of solutions to Fuchsian systems of partial differential equations

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.

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Veröffentlicht in:Nagoya mathematical journal 2003, Vol.169, p.1-17
Hauptverfasser: Mandai, Takeshi, Tahara, Hidetoshi
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0027-7630
2152-6842
DOI:10.1017/S0027763000008436