Singular Differential Equations and -Drazin Invertible Operators

Alrazi Abdeljabbar and Trung Dinh Tran

International Journal of Analysis, 2016, vol. 2016, 1-5

Abstract:

We extend results of Favini, Nashed, and Zhao on singular differential equations using the -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 -Drazin inverse obtained by Koliha and RakoÄ ević.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:7975107

DOI: 10.1155/2016/7975107

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