Skip to main content
SpringerLink
Log in

On one boundary value problem with a spectral parameter in the boundary conditions

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. J. Walter, “Regular eigenvalue problems with eigenvalue parameter in the boundary condition,” Math. Z., Bd. 133, No. 4, 301–312 (1973).

    Article  MATH  MathSciNet  Google Scholar 

  2. A. Schneider, “A note on eigenvalue problems, with eigenvalue parameter in the boundary conditions,” Math. Z., Bd. 136, No. 2, 163–167 (1974).

    Article  MATH  MathSciNet  Google Scholar 

  3. C. T. Fulton, “Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions,” Proc. Roy. Soc. Edinburgh Sect. A, 77, 293–308 (1977).

    MATH  MathSciNet  Google Scholar 

  4. D. B. Hinton, “An expansion theorem for an eigenvalue problem with eigenvalue parameter in the boundary condition,” Quart. J. Math. Oxford Ser. (2), 30, No. 2, 33–42 (1979).

    Article  MATH  MathSciNet  Google Scholar 

  5. E. M. Russakovskiî, “An operator interpretation of the boundary value problem with a polynomial spectral parameter in the boundary conditions,” Funktsional. Anal. i Prilozhen., 9, No. 4, 91–92 (1975).

    Google Scholar 

  6. A. A. Shkalikov, “Boundary value problems for ordinary differential equations with a parameter in the boundary conditions,” Funktsional. Anal. i Prilozhen., 16, No. 4, 92–93 (1982).

    MathSciNet  Google Scholar 

  7. A. A. Shkalikov, “Boundary value problems for ordinary differential equations with a parameter in the boundary conditions,” Trudy Sem. Petrovsk., No. 9, 190–229 (1983).

    MATH  MathSciNet  Google Scholar 

  8. A. P. Makhmudov, “Nonlinear perturbations of regular spectral problems, with a parameter in the boundary conditions and the completeness of their eigenfunctions,” Dokl. Akad. Nauk SSSR, 277, No. 6, 1318–1323 (1984).

    MathSciNet  Google Scholar 

  9. S. V. Meleshko and Yu. V. Pokornyî, “On a variational boundary value problem,” Differentsial'nye Uravneniya, 23, No. 8, 1466–1467 (1987).

    MATH  Google Scholar 

  10. N. B. Kerimov and T. I. Allakhverdiev, “On a certain boundary value problem. I,” Differentsial'nye Uravneniya, 29, No. 1, 54–60 (1993).

    MathSciNet  Google Scholar 

  11. N. B. Kerimov and T. I. Allakhverdiev, “On a certain boundary value problem. II,” Differentsial'nye Uravneniya, 29, No. 6, 952–960 (1993).

    MathSciNet  Google Scholar 

  12. P. A. Binding, P. J. Browne, and K. Seddighi, “Sturm-Liouville problems with eigenparameter dependent boundary conditions,” Proc. Edinburgh Math. Soc. (2), 37, No. 1, 57–72 (1994).

    Article  MATH  MathSciNet  Google Scholar 

  13. A. G. Kostyuchenko and A. A. Shkalikov, “On the theory of selfadjoint quadratic operator pencils,” Vestnik Moskov. Univ. Ser. I Math. Mekh., 38, No. 6, 40–50 (1983).

    MathSciNet  Google Scholar 

  14. B. M. Levitan and I. S. Sargsyan, An Introduction to Spectral Theory. Selfadjoint Ordinary Differential Operators [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  15. F. V. Atkinson, Discrete and Continuous Boundary Problems [Russian translation], Mir, Moscow (1968).

    MATH  Google Scholar 

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

    Google Scholar 

Download references

Authors
  1. N. B. Kerimov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kh. R. Mamedov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Baku, Moscow. Translated from Sibirskiî Matematicheskiî Zhurnal, Vol. 40, No. 2, pp. 325–335, March–April, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kerimov, N.B., Mamedov, K.R. On one boundary value problem with a spectral parameter in the boundary conditions. Sib Math J 40, 281–290 (1999). https://doi.org/10.1007/s11202-999-0008-5

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11202-999-0008-5

Keywords

Search

Navigation