Semistable operators and singularly perturbed differential equations

DOI10.1006/JMAA.1998.6235zbMath0928.47009OpenAlexW2068648489MaRDI QIDQ1283110

J. J. Koliha, Trung Dinh Tran

Publication date: 13 April 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6235

zbMATH Keywords

differential equationsresolventsperturbed differential equationsemistable operatorupper semicontinuity of the spectrum

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Linear ordinary differential equations and systems (34A30)

Related Items (6)

Generalized Drazin Invertibility of Operator Matrices ⋮ Generalized Drazin Inverse and Commuting Riesz Perturbations ⋮ Left and right generalized Drazin invertible operators and local spectral theory ⋮ Closed Semistable Operators and Singular Differential Equations ⋮ Extended \(g\)-Drazin inverse in a Banach algebra ⋮ Left and right generalized Drazin invertible operators

Cites Work

• Pseudo-Inverses in Associative Rings and Semigroups
• Inner, outer, and generalized inverses in banach and hilbert spaces
• Isolated spectral points
• A generalized Drazin inverse
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