Holomorphic complex differential equations: An elementary proof that the time-p map is holomorphic |
| |
Authors: | D. J. Needham |
| |
Affiliation: | (1) Department of Mathematics, University of Reading, Reading, RG6 6AX, UK |
| |
Abstract: | We give an elementary proof that, in its domain of definition, the time-p map of a scalar, autonomous holomorphic, complex differential equation, is itself holomorphic. This result is used by Sverdlove [1] when considering limit cycles in complex holomorphic differential equations. However no proof or reference for the result is given in [1]. Although this result must be well established, a proof does not appear to be readily accessible in the reference literature. |
| |
Keywords: | 34C99 |
本文献已被 SpringerLink 等数据库收录! |
|