Skip to main content
SpringerLink
Log in

Asymptotic expansions for solutions of n-th order linear ordinary differential equations with two turning points

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

Asymptotic expansions for solutions of n-th order linear differential equation with two turning points are constructed in Olver's form. Analytic properties of the coefficients of the series obtained are investigated. Bibliography: 7 titles.

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

Similar content being viewed by others

Literature Cited

  1. F. W. J. Olver, “Second-order linear differential equations with two turning points,”Phyl. Trans. R. Soc., Ser. A London,278, 137–174 (1975).

    MATH  MathSciNet  Google Scholar 

  2. S. Yu. J. Slavjana and V. S. Buldyrev, “Uniform asymptotic expansions for solutions of the Schrödinger type equations with two transition points,”Vestnik LGU,22(4), 70–84 (1968).

    Google Scholar 

  3. I. N. Yakushina, “Uniform asymptotic expansions for solutions of second-order differential equations with two turning points by the complex spectral parameter,”Differents. Uravn.,23, No. 6, 1014–1020 (1987).

    MATH  MathSciNet  Google Scholar 

  4. Z. A. Yanson, “High order approximations of asymptotic solutions for the wave equation in a plane waveguide,”Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steclov (LOMI),25, No. 6, 176–191 (1972).

    MATH  Google Scholar 

  5. M. V. Fedoryuk, “Asymptotics for solutions ofnth order linear ordinary differential equations,”Differents. Uravn.,2, No. 4, 493–508 (1966).

    Google Scholar 

  6. M. V. Fedoryuk,Asymptotic methods for linear ordinary diffrential equation [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  7. Handbook on Special Functions [in Russian], Moscow (1979).

Download references

Authors
  1. I. N. Yakushina
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 186, pp. 172–179, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yakushina, I.N. Asymptotic expansions for solutions of n-th order linear ordinary differential equations with two turning points. J Math Sci 73, 408–413 (1995). https://doi.org/10.1007/BF02362828

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02362828

Keywords

Search

Navigation