Ordinary differential equations with only entire solutions

Andersen, Erik

Ordinary differential equations with only entire solutions

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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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Complex Variables, 32

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http://salesiana.dossiersoluciones.com/handle/123456789/153133

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9706201
http://arxiv.org/abs/math/9706201

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Ordinary differential equations with only entire solutions

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