Skip to main content
Log in

Classes of boundary-value problems for the sturm — Liouville equation with an operator potential

  • Published:
Ukrainian Mathematical Journal Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. Yu. M. Berezanskii, Eigenfunction Expansions of Selfadjoint Operators [in Russian], Naukova Dumka, Kiev (1965).

    Google Scholar 

  2. M. L. Gorbachuk, “Selfadjoint boundary-value problems for a second-order differential equation with an unbounded operator coefficient,” Funktsional'. Analiz i Ego Prilozhen.,5, No. 1 (1971).

  3. S. G. Mikhlin, Variational Methods in Mathematical Physics [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  4. M. M. Gekhtman, “On the spectrum of Selfadjoint extensions of a symmetric semibounded operator,” Dokl. Akad. Nauk SSSR,186, No. 6 (1969).

  5. K. Yosida, Functional Analysis, Springer, Berlin (1963).

    Google Scholar 

  6. V. I. Gorbachuk and M. L. Gorbachuk, “Selfadjoint boundary-value problems with discrete spectrum for the Sturm-Liouville equation with an unbounded operator coefficient,” Funktsional'. Analiz i Ego Prilozhen.,5, No. 4 (1971).

  7. V. I. Gorbachuk and M. L. Gorbachuk, “Some problems of spectral theory of a linear second-order differential equation with unbounded operator coefficients,” Ukrainsk. Matem. Zh.,23, No. 1 (1971).

  8. I. Ts. Gokhberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  9. B. M. Levitan and G. A. Suvorchenkova, “Sufficient conditions of discreteness of the spectrum of the Sturm-Liouville equation with operator coefficients,” Funktsional'. Analiz i Ego Prilozhen.,2, No. 2 (1968).

  10. M. A. Naimark, Linear Differential Operators [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  11. E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, II, Oxford (1946).

  12. E. C. Titchmarsh, ibid., I, Oxford (1947).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, No. 3, pp. 291–305, May–June, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gorbachuk, V.I., Gorbachuk, M.L. Classes of boundary-value problems for the sturm — Liouville equation with an operator potential. Ukr Math J 24, 241–250 (1972). https://doi.org/10.1007/BF01086235

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01086235

Keywords

Navigation