Skip to main content
Log in

Asymptotics of eigenvalues and eigenfunctions of the Sturm-Liouville problem with a small parameter and the spectral parameter in the boundary condition

  • Brief Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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.

References

  1. A. N. Tikhonov and A. A. Samarskii,Equations of Mathematical Physics [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  2. S. P. Timoshenko,Strength and Vibrations of Structural Members. Collection of Papers (É. I. Grigolyuk, editor) [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  3. P. Lancaster, A. Shkalikov and Ye. Qiang, “Strongly definitizable linear pencils in Hilbert space,”Integral Equation Operator Th.,17 (1993).

  4. Yu. Sh. Abramov,Variational Methods in the Theory of Operator Pencils. Spectral Optimization [in Russian], Izd. Leningrad Univ., Leningrad (1983).

    Google Scholar 

  5. T. Ya. Azizov and I. S. Iokhvidov,Foundations of the Theory of Linear Operators in Spaces with Indefinite Metric [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  6. M. I. Vishik and L. A. Lyusternik, “Regular degeneration and the boundary layer for linear differential equations with a small parameter,”Uspekhi Mat. Nauk [Russian Math. Surveys],12, No. 5, 3–122 (1957).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated fromMatematicheskie Zametki, Vol. 60, No. 4, pp. 609–611, October, 1996.

I am grateful to Prof. Shkalikov for suggesting the problem and for his attention to this work.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhamel, B.A. Asymptotics of eigenvalues and eigenfunctions of the Sturm-Liouville problem with a small parameter and the spectral parameter in the boundary condition. Math Notes 60, 456–458 (1996). https://doi.org/10.1007/BF02305431

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02305431

Key words

Navigation