Asymptotic behavior on \((-\infty , 0)\) of the spectral measures of a family of singular Sturm-Liouville operators

DOI10.1134/S0012266109060044zbMath1183.34133OpenAlexW2010360227MaRDI QIDQ731548

A. S. Pechentsov, Anton Yu. Popov

Publication date: 8 October 2009

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

Full work available at URL: https://doi.org/10.1134/s0012266109060044

zbMATH Keywords

spectral measuresingular Sturm-Liouville operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Cites Work

• The asymptotic form of the spectral function in Sturm–Liouville problems with a large potential like −x^c(c ≦ 2)
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