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Thesis

The theory of exponential differential equations

Abstract:

This thesis is a model-theoretic study of exponential differential equations in the context of differential algebra. I define the theory of a set of differential equations and give an axiomatization for the theory of the exponential differential equations of split semiabelian varieties. In particular, this includes the theory of the equations satisfied by the usual complex exponential function and the Weierstrass p-functions. The theory consists of a description of the algebraic structure on...

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Publication date:
2006
URN:
uuid:b3fdaff3-9253-4efe-a3ff-400c7b4c7db0
Local pid:
oai:eprints.maths.ox.ac.uk:275

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