Solution to Rubel’s Question about Differentially Algebraic Dependence on Initial Values

نویسنده

  • GUY KATRIEL
چکیده

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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تاریخ انتشار 2004