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arXiv · 1004.0475

Global behavior of solutions of nonlinear ODEs in $\CC$: first order equations

O. Costin·M. Huang·F. Fauvet
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Abstract

We show that the solutions of first order nonlinear ODEs can be controlled globally in the complex domain, using a finite set of constants of motion defined in regions of $\CC$. These constants of motion enable us to obtain quantitative behaviors of the solutions far away from the origin, as well as to determine the position of singularities of the solution.

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O. Costin, M. Huang, F. Fauvet. 2010-04-04. Global behavior of solutions of nonlinear ODEs in $\CC$: first order equations. https://arxiv.org/abs/1004.0475

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