Solution to Rubel's question about differentially algebraic dependence on initial values

Details Solution to Rubel's question about differentially algebraic dependence on initial values Solution to Rubel's question about differentially algebraic dependence on initial values

2002-10-31

arxiv.org/abs/math/0210472v4

Illinois Journal of Mathematics, Volume 47, Issue 4 (Winter 2003)

Mathematics

Classical Analysis and ODEs

Scientific paper

We prove that, for generic systems of polynomial differential equations, the
dependence of the solution on the initial conditions is not differentially
algebraic. This answers, in the negative, a question posed by L.A. Rubel.

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