Mathematics – Classical Analysis and ODEs
Scientific paper
2010-04-04
Mathematics
Classical Analysis and ODEs
Scientific paper
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.
Costin Ovidiu
Fauvet F.
Huang Minyi
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