Abstract
Oscillation spectral properties (the number of zeros, their alternation for eigenfunctions, the simplicity of the spectrum, etc.) are described for the Sturm-Liouville problem with generalized coefficients.
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References
A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations [in Russian], Vyshcha Shkola, Kiev (1987).
S. Albeverio, F. Gesztesy, R. Høegh-Krohn, and H. Holden, Solvable Models in Quantum Mechanics, Springer, New York (1988).
F. V. Atkinson, Discrete and Continuous Boundary Problems, Academic Press, New York (1964).
S. Saks, Theory of the Integral [Russian translation], Inostrannaya Literatura, Moscow (1939).
F. Riesz and B. Szökefalvi-Nagy, Leçons D’Analyse Fonctionnelle, Akadémiai Kiadó, Budapest (1972).
B. M. Levitan, Expansion in Eigenfunctions [in Russian], Gostekhteorizdat, Moscow (1950).
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 1, pp. 95–99, January, 2008.
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Pokornyi, Y.V., Zvereva, M.B. & Shabrov, S.A. On extension of the Sturm-Liouville oscillation theory to problems with pulse parameters. Ukr Math J 60, 108–113 (2008). https://doi.org/10.1007/s11253-008-0045-4
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DOI: https://doi.org/10.1007/s11253-008-0045-4