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

34L99Ordinary differential operators
34A30Linear ODE and systems, general
47A25Spectral sets
Full Text: DOI
[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] Dieudonn√©, J.: Foundations of modern analysis. (1960) · Zbl 0100.04201