Fixed singular point
From Encyclopedia of Mathematics
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
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