×

Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients. (English) Zbl 0334.34031


MSC:

34L99 Ordinary differential operators
34A30 Linear ordinary differential equations and systems
47A25 Spectral sets of linear operators
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Fix, G., Asymptotic eigenvalues of Sturm-Liouville systems, J. Math. Anal. Appl., 19, 519-525 (1967) · Zbl 0153.40401
[2] Lapwood, E. R., The effect of discontinuities in density and rigidity on torsional eigenfrequencies of the Earth, Geophy. J. R. Astron. Soc., 40, 453-464 (1975) · Zbl 0297.73064
[3] Anderssen, R. S.; Cleary, J. R., Asymptotic structure in torsional free oscillations of the Earth: 1. Overtone structure, Geophys. J. R. Astron. Soc., 39, 241-268 (1974) · Zbl 0365.73095
[4] Dieudonné, J., Foundations of Modern Analysis (1960), Academic Press: Academic Press New York · Zbl 0100.04201
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.