Spectral theory for systems of ordinary differential equations with distributional coefficients

DOI10.1016/j.jde.2019.09.042zbMath1441.34091arXiv1807.09653OpenAlexW2951115219WikidataQ127202539 ScholiaQ127202539MaRDI QIDQ2288033

Ahmed Ghatasheh, Rudi Weikard

Publication date: 16 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09653

zbMATH Keywords

first-order systemspectral theorydistributional coefficients

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Green's functions for ordinary differential equations (34B27) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)

Related Items (8)

Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators ⋮ Green's functions for first-order systems of ordinary differential equations without the unique continuation property ⋮ Sign-changing points of solutions of homogeneous Sturm–Liouville equations with measure-valued coefficients ⋮ Asymptotic behavior of eigenvalues for first-order systems with distributional coefficients ⋮ Comparison and oscillation theorems for first order systems with distributional coefficients ⋮ On Fourier expansions for systems of ordinary differential equations with distributional coefficients ⋮ On a class of integral systems ⋮ On the spectral theory for first-order systems without the unique continuation property

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