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The spectrum of self-adjoint extensions of the minimal operator generated by a Sturm-Liouville equation with operator potential

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Ukrainian Mathematical Journal Aims and scope

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Literature cited

  1. M. L. Gorbachuk, “Self-adjoint boundary-value problems for second-order differential equations with unbounded operator coefficients, ” Funktsional'nyi Analiz,5, No. 1 (1971).

  2. Yu. M. Berezanskii, Decomposition of Self-Adjoint Operators along Eigenfunctions [in Russian], Naukova Dumka, Kiev (1965).

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  3. G. I. Laptev, “Eigenvalue problems for second-order differential equations in Banach and Hilbert space,” Differ. Uravn.,2, No. 9 (1966).

  4. F. S. Rofe-Beketov, “Self-Adjoint Extensions of Differential Operators in a Space of Vector-Functions,” Theory of Functions, Functional Analysis and Its Applications [in Russian], No. 8, Khar'kov (1969).

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

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Ukraine

    V. I. Gorbachuk & M. L. Gorbachuk

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  1. V. I. Gorbachuk
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  2. M. L. Gorbachuk
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Translated from Ukrainskii Matemicheskii Zhurnal, Vol. 24, No. 6, pp. 726–734, November–December, 1972.

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Gorbachuk, V.I., Gorbachuk, M.L. The spectrum of self-adjoint extensions of the minimal operator generated by a Sturm-Liouville equation with operator potential. Ukr Math J 24, 582–588 (1972). https://doi.org/10.1007/BF01085407

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  • DOI: https://doi.org/10.1007/BF01085407

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