On spectrum of strings with δ'-like perturbations of mass density

DOI10.30970/vmm.2020.89.060-079zbMath1474.34193arXiv2007.03259OpenAlexW3038619302MaRDI QIDQ4991320

Yu. D. Golovatyj

Publication date: 2 June 2021

Published in: Visnyk Lvivskogo Universytetu. Seriya Mekhaniko-Matematychna (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03259

zbMATH Keywords

singular perturbationSturm-Liouville operatorspectral problemHausdorff convergencenorm resolvent convergencenon-self-adjoint operatoradjoint massconcentrating mass

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

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