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Literature cited
I. S. Kats, “Existence of spectral functions of second-order generalized differential systems with boundary conditions at a singular end,” Mat. Sb.,68, No. 2, 174–227 (1965).
I. S. Kats, “Integral growth characteristics of spectral functions of second-order generalized boundary-value problems with boundary conditions at a regular endpoint,” Izv. Akad. Nauk SSSR, Ser. Mat.,35, No. 1, 154–184 (1981).
I. S. Kats, “A generalization of an asymptotic formula of V. A. Marchenko for the spectral function of a second-order boundary-value problem,” Izv. Akad. Nauk SSSR, Ser. Mat.,37, No. 2, 422–436 (1973).
F. V. Atkinson, Discrete and Continuous Boundary Problems, Academic Press (1964).
M. G. Krein, “An analog of the Chebyshev-Markov inequality in a one-dimensional boundary-value problem,” Dokl. Akad. Nauk SSSR,89, No. 1, 508 (1953).
M. G. Krein, “Chebyshev-Markov inequalities in the theory of spectral functions of a string,” Mat. Issled.,5, No. 1, 77–101 (1970).
V. A. Marchenko, “Some topics in the theory of one-dimensional linear differential operators. I,” Tr. Mosk. Mat. Obshch.,1, 327–420 (1952).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.34, No. 3, pp. 296–302, May–June, 1982.
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Kats, I.S. Theorem on integral growth estimates for the spectral functions of a string. Ukr Math J 34, 240–245 (1982). https://doi.org/10.1007/BF01682111
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DOI: https://doi.org/10.1007/BF01682111