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Some properties of characteristic functions of the Sturm-Liouville operator with discontinuous coefficients

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Literature cited

  1. V. A. Il'in, “On convergence of expansions in terms of characteristic functions at discontinuity points of the coefficients of a differential operator,” Mat. Zametki,22, No. 5, 679–698 (1977).

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  2. A. B. Budak, “On spectral expansions in characteristic functions of ordinary differential operators with discontinuous coefficients,” Candidate's Dissertation, Physical-Mathematical Sciences, Moscow (1980).

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Translated from Matematicheskie Zametki, Vol. 42, No. 6, pp. 819–830, December, 1987.

The author wishes to thank V. A. Il'in for his concern in the writing of this paper.

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Budak, A.B., Denisov, V.N. Some properties of characteristic functions of the Sturm-Liouville operator with discontinuous coefficients. Mathematical Notes of the Academy of Sciences of the USSR 42, 949–955 (1987). https://doi.org/10.1007/BF01137451

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  • DOI: https://doi.org/10.1007/BF01137451

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