Skip to main content
SpringerLink
Log in

Analytic continuation of the solutions of nonlinear differential equations with respect to a parameter

  • Brief Communications
  • 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

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

Literature cited

  1. H. Kauderer, Nichtlineare Mechanik, Springer-Verlag, Berlin (1958).

    Google Scholar 

  2. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Moscow-Leningrad (1962).

  3. R. Bellman, The Method of Perturbations and Its Application in Nonlinear Mechanics (Collected Translations) [Russian translation], 2 (42), Mekhanika, IL (1957).

  4. É. Goursat, Cours d'Analyse, 3rd ed., Paris (1917).

  5. N. N. Bogolyubov and Yu. A. MitropoPskii, Asymptotic Methods in the Theory of Nonlinear Vibrations [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  6. M. Urabe, Numerical Study of Periodic Solution, Transactions of International Symposium on Non-Linear Vibration [in Russian], Vol.2, Akad. Nauk UkrSSR, Kiev (1963).

    Google Scholar 

  7. A. M. Lyapunov, Collected Works [in Russian], Vol.2, Akad. Nauk SSSR, Moscow-Leningrad (1956).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev

    Ya. F. Kayuk

Authors
  1. Ya. F. Kayuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol.19, No. 5, pp. 131–138, September–October, 1967.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kayuk, Y.F. Analytic continuation of the solutions of nonlinear differential equations with respect to a parameter. Ukr Math J 19, 618–624 (1967). https://doi.org/10.1007/BF01085304

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01085304

Keywords

Search

Navigation