Construction of the second-order Fuchsian systems with nilpotent irreducible residue matrices

Authors: V. V. Amelkin, M. N. Vasilevich

Keywords: Fuchsian system; nilpotent irreducible residue matrix; monodromy matrix; exponential monodromy matrix

Abstract:

One inverse problem of analytic theory of linear differential equations is considered. Namely, the second-order Fuchsian systems with four critical points and nilpotent irreducible matrices-residua are constructed.