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Singular Differential Equations and -Drazin Invertible Operators

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  • Alrazi Abdeljabbar
  • Trung Dinh Tran

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.

Suggested Citation

  • Alrazi Abdeljabbar & Trung Dinh Tran, 2016. "Singular Differential Equations and -Drazin Invertible Operators," International Journal of Analysis, Hindawi, vol. 2016, pages 1-5, March.
    • Handle: RePEc:hin:ijanal:7975107
    DOI: 10.1155/2016/7975107
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    References listed on IDEAS

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    1. N. Castro González & J. J. Koliha & V. Rakocevic, 2002. "Continuity and general perturbation of the Drazin inverse for closed linear operators," Abstract and Applied Analysis, Hindawi, vol. 7, pages 1-13, January.
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