2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35020In this paper we obtain unstable even-parity eigenmodes to the static regular spherically symmetric solutions of the SU(2) Yang-Mills-dilaton coupled system of equations in 3+1 Minkowski space-time. The corresponding matrix Sturm-Liouville problem is solved numerically by means of the continuous analogue of Newton's method. The method, being the powerful tool for solving both boundary-value and Sturm-Liouville problems, is described in details.22 pages, 5 figuresGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical Physicstext