On globally nilpotent differential equations
In a previous work of the authors, a middle convolution operation on the category of Fuchsian differential systems was introduced. In this note we show that the middle convolution of Fuchsian systems preserves the property of global nilpotence. This leads to a globally nilpotent Fuchsian system of r...
Guardado en:
| Autores principales: | , |
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| Formato: | Article (Journal) |
| Lenguaje: | inglés |
| Publicado: |
3 March 2010
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| In: |
Journal of differential equations
Year: 2010, Volumen: 248, Número: 11, Pages: 2736-2745 |
| ISSN: | 1090-2732 |
| DOI: | 10.1016/j.jde.2010.02.009 |
| Acceso en línea: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1016/j.jde.2010.02.009 Verlag, lizenzpflichtig, Volltext: https://www.sciencedirect.com/science/article/pii/S0022039610000574 
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| Notas de Autor: | Michael Dettweiler, Stefan Reiter |
| Sumario: | In a previous work of the authors, a middle convolution operation on the category of Fuchsian differential systems was introduced. In this note we show that the middle convolution of Fuchsian systems preserves the property of global nilpotence. This leads to a globally nilpotent Fuchsian system of rank two which does not belong to the known classes of globally nilpotent rank two systems. |
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| Notas: | Gesehen am 31.01.2024 |
| Descripción Física: | Online Resource |
| ISSN: | 1090-2732 |
| DOI: | 10.1016/j.jde.2010.02.009 |