Asymptotic behavior of the density of the spectral measure of the Sturm-Liouville operator on the half-line with the boundary condition \(y(0) = 0\)

DOI10.1134/S0012266106100053zbMath1144.34057MaRDI QIDQ2480447

A. S. Pechentsov, Anton Yu. Popov

Publication date: 31 March 2008

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

zbMATH Keywords

ordinary differential operatorsspectral measure

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (1)

Asymptotic behavior of the spectral measure density of a singular Sturm-Liouville operator as \(\lambda \rightarrow -\infty\)

Cites Work

• Unnamed Item
• The asymptotic form of the spectral function in Sturm–Liouville problems with a large potential like −x^c(c ≦ 2)
• Spectral Asymptotics for Sturm-Liouville Equations

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