2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60423One studies the system of differential equations satisfied by the hyperelliptic integral associated to a vanishing cycle defined for the versal deformation of the $A-μ$ singularity. As an application, the estimates on the multiplicity of zeros of the hyperelliptic integral are given as a linear function of the degree of present polynomials.21 pages, FrenchDynamical SystemsAlgebraic Geometry34C08, 14K20text