2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152437In this work we want to explore the relationship between certain eigenvalue condition for the symbols of first order partial differential operators describing evolution processes and the linear and nonlinear stability of their stationary solutions.16 pages, TexFunctional AnalysisGeneral Relativity and Quantum CosmologyAnalysis of PDEsStability of quasi-linear hyperbolic dissipative systemstext