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Conditions for discreteness of the spectrum of the sturm-Liouville operator in the space of vector functions

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Literature cited

  1. M. A. Naimark, Linear Differential Operators [in Russian], Moscow (1954).

  2. I. M. Glazman, Direct Methods of Qualitative Spectrum Analysis of Singular Differential Operators [in Russian], Moscow (1963).

  3. V. V. Marynov, Conditions for discreteness and continuity of the spectrum in the case of a self-ad-joint system of differential equations of even order [in Russian], Dif. Uraveneniia,1, No. 12, 1578–1591 (1965)

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  4. R. S. Ismagilov, On conditions for semi-boundedness and discreteness of the spectrum for one-dimensional differential operators, Doklady AN SSSR,140, 33–36 (1961).

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Authors and Affiliations

  1. N. G. Chernyshevskii Saratov State University, USSR

    L. B. Zelenko

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  1. L. B. Zelenko
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Translated from Matematicheskie Zametki, Vol. 1, No. 5, pp. 383–588, May, 1967.

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Zelenko, L.B. Conditions for discreteness of the spectrum of the sturm-Liouville operator in the space of vector functions. Mathematical Notes of the Academy of Sciences of the USSR 1, 386–389 (1967). https://doi.org/10.1007/BF01094077

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  • DOI: https://doi.org/10.1007/BF01094077

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