ABSTRACT

In §5.3 we look at an ODE example which illustrates some key ingredients needed in a more general analysis. §5.9 contains a number of results which hold for generic systems of differential equations; the proofs, outlined in §5.10 and given in detail (with some simplifying assumptions) in §5.10c rely on methods that can be adapted to other problems. Using the singularity structure in Borel plane, one can generically recon-

struct a system of ODEs from just one, possibly formal, solution, see Remark 5.75.