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

DOI10.1017/S0308210500027141zbMath0896.34017OpenAlexW2323393216MaRDI QIDQ4380623

Michael S. P. Eastham

Publication date: 11 October 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500027141

zbMATH Keywords

asymptotic expansionspectral functionsingular Sturm-Liouville problemsWeyl limit-point case

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20)

Related Items

The convexity of the spectral function in Sturm–Liouville problems, Asymptotic behavior of the density of the spectral measure of the Sturm-Liouville singular operator, Asymptotic behavior of the spectral measure density of a singular Sturm-Liouville operator as \(\lambda \rightarrow -\infty\), Asymptotic behavior of the density of the spectral measure of the Sturm-Liouville operator on the half-line with the boundary condition \(y(0) = 0\), Asymptotic behavior on \((-\infty , 0)\) of the spectral measures of a family of singular Sturm-Liouville operators, The form of the spectral functions associated with Sturm-Liouville equations with large negative potential, On the location of spectral concentration for Sturm–Liouville problems with rapidly decaying potential, On the location of spectral concentration for perturbed discrete spectra

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