Ordinary differential equations with only entire solutions
Complex Variables
2008-02-03 v1
Authors:
Erik Andersen
Abstract
We prove necessary and sufficient conditions for a system z˙i=zipi(z) (pi a polynomial) to have only entire analytic functions as solutions.
Cite
@article{arxiv.math/9706201,
title = {Ordinary differential equations with only entire solutions},
author = {Erik Andersen},
journal= {arXiv preprint arXiv:math/9706201},
year = {2008}
}
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