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Fixed singular point

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A common singular point $ z _ {0} $ of all solutions $ w $ of a differential equation $ F ( z, w, w ^ \prime ) = 0 $( where $ F $ is an analytic function), regarded as functions $ w ( z) $ of a complex variable $ z $, the initial conditions of which range over a certain domain in the $ ( z, w) $- space.

References

[1] V.V. Golubev, "Vorlesungen über Differentialgleichungen im Komplexen" , Deutsch. Verlag Wissenschaft. (1958) (Translated from Russian)
How to Cite This Entry:
Fixed singular point. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Fixed_singular_point&oldid=46938
This article was adapted from an original article by Yu.S. Il'yashenko (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article