Singular differential equations and \(g\)-Drazin invertible operators
type: Item
instance of: scholarly article
title: Singular differential equations and \(g\)-Drazin invertible operators
DOI: 10.1155/2016/7975107
author: Alrazi Abdeljabbar
author: Trung Dinh Tran
published in: International Journal of Analysis
publication date: 2018-10-15T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 47-XX
Mathematics Subject Classification ID: 34-XX
zbMATH DE Number: 6954354
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/7975107
OpenAlex ID: W2302451356
Wikidata QID: Q59123928
cites work: Abstract potential operator and spectral methods for a class of degenerate evolution problems
cites work: Abstract singular equations and applications
cites work: Q4852508
cites work: On a singularly perturbed autonomous linear control problem
cites work: Q3852479
cites work: Composite controls for singularly perturbed systems
cites work: Persistence of bounded solutions to degenerate Sobolev-Galpern equations
cites work: Singular differential equations with delay
cites work: Degenerate non-stationary differential equations with delay in Banach spaces.
cites work: On a class of differential equations of parabolic type with impulsive action
cites work: A generalized Drazin inverse
cites work: Q4533174
cites work: Continuity properties of the Drazin pseudoinverse
cites work: Continuity and general perturbation of the Drazin inverse for closed linear operators
cites work: Q4236609
cites work: Quasinilpotency of the operators in picard-lindelöf iteration
cites work: Q3150781
description: scientific article; zbMATH DE number 6954354