On linear systems of moment differential equations with singularities of the first kind (Alberto Lastra - Universidad de Alcalá)

Séminaire « Analyse complexe et équations différentielles »

The solution to systems of moment dierential equations of the form z∂my =
(zA + B)y are provided, for a matrix B with general good spectrum. Existence and
convergence of Floquet-type solutions is studied. A generalized denition of zB is given,
as a tool to solve the main problem whenever A ≡ 0.