Abstract
Consider a system of nonlinear ordinary differential equations of the form
in n unknowns y1, ... y n , where the g i ’s are meromorphic in x, y1,..., y n with poles along x = a. We say that equation (0.0.1) has a singular point of regular type at re = a if every g i has at most a simple pole at x = a, and of irregular type otherwise.
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© 1991 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Iwasaki, K., Kimura, H., Shimomura, S., Yoshida, M. (1991). Studies on Singularities of Non-linear Differential Equations. In: From Gauss to Painlevé. Aspects of Mathematics, vol 16. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-90163-7_4
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DOI: https://doi.org/10.1007/978-3-322-90163-7_4
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-90165-1
Online ISBN: 978-3-322-90163-7
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