2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66958We show, for some classes of diffusion coefficients that, generically in f, all equilibria of the reaction-diffusion equation u_t = (a(x)u_x)_x + f(u) with homogeneous Neumann boundary conditions are hyperbolic.Dynamical SystemsClassical Analysis and ODEs35K57; 35K20Generic hyperbolicity for the equilibria of the one dimensional parabolic equationtext