2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130443Some features of the calculation of fluid dynamo systems in magnetohydrodynamics are studied. In the coupled set of the ordinary linear differential equations for the spherically symmetric $α^2-$dynamos, the problem represented by the presence of the mixed (Robin) boundary conditions is addressed and a new treatment for it is proposed. The perturbation formalism of large$-\ell$ expansions is shown applicable and its main technical steps are outlined.16 ppMathematical Physics34L16; 34M25; 46N20; 46N60; 76W05; 78M30; 81Q15text