A differential intermediate value theorem
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Abstract

In this survey paper, we outline the proof of a recent differential intermediate value theorem for transseries. Transseries are a generalization of power series with real coefficients, in which one allows the recursive appearance of exponentials and logarithms. Denoting by the field of transseries, the intermediate value theorem states that for any differential polynomials with coefficients in and in with , there exists a solution to with .

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See also: the corresponding preprint with details