Difference between revisions of "Fixed singular point"
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| + | $#C+1 = 7 : ~/encyclopedia/old_files/data/F040/F.0400530 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==== | ====References==== | ||
<table><TR><TD valign="top">[1]</TD> <TD valign="top"> V.V. Golubev, "Vorlesungen über Differentialgleichungen im Komplexen" , Deutsch. Verlag Wissenschaft. (1958) (Translated from Russian)</TD></TR></table> | <table><TR><TD valign="top">[1]</TD> <TD valign="top"> V.V. Golubev, "Vorlesungen über Differentialgleichungen im Komplexen" , Deutsch. Verlag Wissenschaft. (1958) (Translated from Russian)</TD></TR></table> | ||
Latest revision as of 19:39, 5 June 2020
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