Skip to main content
Log in

Transformation operators and asymptotic formulas for the eigenvalues of a polynomial pencil of Sturm-Liouville operators

  • 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

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Levitan B. M. The Theory of Generalized Shift Operators [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  2. Levitan B. M., Inverse Sturm-Liouville Problems [in Russian], Nauka, Moscow (1984).

    MATH  Google Scholar 

  3. Marchenko V. A., Sturm-Liouville Operators and Some of Their Applications [in Russian], Naukova Dumka, Kiev (1977).

    Google Scholar 

  4. Povzner A. Ya., “On Sturm-Liouville type differential equations on a semiaxis,” Mat. Sb.,23, No. 1, 3–52 (1948).

    Google Scholar 

  5. Guseînov I. M., “On a transformation operator,” Mat. Zametki,62, No. 2, 206–215 (1997).

    Google Scholar 

  6. Samko S. G. Kilbas A. A., andMarichev O. M., Integrals and Fractional-Order Derivatives and Some of Their Applications [in Russian], Nauka i Tekhnika, Minsk (1987).

    MATH  Google Scholar 

  7. Sidorov Yu. V., Fedoryuk M. V. andShabunin M. I., Lectures on the Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1982).

    MATH  Google Scholar 

  8. Jaulent M. andJean C., “On an inverse scattering problem with an energy-dependent potential,” Ann. Inst. H. Poicaré. Sect. A.,17, No. 4, 363–378 (1972).

    Google Scholar 

  9. Guseînov G. Sh., Asymptotic Formulas for the Solutions and Eigenvalues of a Square Pencil of Sturm-Liouville Equations [in Russian] [Preprint, No. 113], Inst. Fiz. Akad. Nauk Azerb. SSR, Baku (1984).

    Google Scholar 

Download references

Authors

Additional information

Baku. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 41, No. 3, pp. 554–566, May–June, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guseînov, I.M., Nabiev, A.A. & Pashaev, R.T. Transformation operators and asymptotic formulas for the eigenvalues of a polynomial pencil of Sturm-Liouville operators. Sib Math J 41, 453–464 (2000). https://doi.org/10.1007/BF02674102

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02674102

Keywords

Navigation