Spectral asymptotics for Sturm-Liouville equations with indefinite weight

DOI10.1090/S0002-9947-02-03023-4zbMath1017.34082OpenAlexW1864108845MaRDI QIDQ3151220

Patrick J. Browne, Bruce Alastair Watson, Paul A. Binding

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-03023-4

zbMATH Keywords

eigenvaluesSturm's theoremmodified Prüfer angle

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Lie symmetry methods for multi-dimensional parabolic PDEs and diffusions

Cites Work

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• The distribution of the eigenvalues for second order eigenvalue problems in the presence of an arbitrary number of turning points
• Spectral analysis of the Regge problem with parameters
• On inverse problems associated with Sturm-Liouville operators
• Asymptotics for solutions of linear differential equations having turning points with applications
• Sturm–Liouville problems with eigenparameter dependent boundary conditions

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