On the spectral theory for first-order systems without the unique continuation property

DOI10.1080/03081087.2019.1671303zbMath1478.34002OpenAlexW2977346572MaRDI QIDQ4959313

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Publication date: 13 September 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2019.1671303

zbMATH Keywords

first-order systemspectral theory

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) General spectral theory of ordinary differential operators (34L05) Linear ordinary differential equations and systems (34A30) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Related Items (3)

Green's functions for first-order systems of ordinary differential equations without the unique continuation property ⋮ Comparison and oscillation theorems for first order systems with distributional coefficients ⋮ On Fourier expansions for systems of ordinary differential equations with distributional coefficients

Cites Work

• Sturm-Liouville operators with measure-valued coefficients
• Sturm-Liouville operators with singular potentials
• Spectral theory for systems of ordinary differential equations with distributional coefficients
• Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials
• A new class of solvable models in quantum mechanics describing point interactions on the line
• Unnamed Item

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