Singular differential equations and \(g\)-Drazin invertible operators
Summary: We extend results of Favini, Nashed, and Zhao on singular differential equations using the \(g\)-Drazin inverse and the order of a quasinilpotent operator in the sense of Miekka and Nevanlinna. Two classes of singularly perturbed differential equations are studied using the continuity properties of the \(g\)-Drazin inverse obtained by Koliha and Rakočević.
scientific article; zbMATH DE number 6954354