Ordinary differential equations with only entire solutions

Details Ordinary differential equations with only entire solutions Ordinary differential equations with only entire solutions

1997-06-06

arxiv.org/abs/math/9706201v1

Mathematics

Complex Variables

Scientific paper

We prove necessary and sufficient conditions for a system $\dot
z_i=z_ip_i(z)$ ($p_i$ a polynomial) to have only entire analytic functions as
solutions.

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