Skip to main content
SpringerLink
Log in

A numerical-analytic method for three-point boundary-value problems

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We suggest a modification of the numerical-analytic iteration method. This method is used for studying the problem of existence of solutions and for constructing approximate solutions of nonlinear ordinary differential systems with linear three-point boundary conditions of general form.

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

References

  1. A. M. Samoilenko and N. I. Ronto,Numerical-Analytic Methods for Studying Solutions of Boundary-Value Problems [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  2. A. M. Samoilenko and N. I. Ronto,Numerical-Analytic Methods for Studying Periodic Solutions [in Russian], Vyshcha Shkola, Kiev (1976).

    Google Scholar 

  3. A. M. Samoilenko and N. I. Ronto, “A modification of numerical-analytic iteration method for boundary-value problems of ordinary differential equations,” [in Russian],Ukr. Mat. Zh.,42, No. 8, 1107–1116 (1990).

    Google Scholar 

  4. M. A. Krasnosel'skii, G. M. Vainikko, P. P. Zabreiko, et al.,Approximate Solution of Operator Equations [in Russian], Nauka, Moscow (1969).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    N. I. Ronto & T. V. Savina

Authors
  1. N. I. Ronto
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. V. Savina
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, pp. 393–403, April, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ronto, N.I., Savina, T.V. A numerical-analytic method for three-point boundary-value problems. Ukr Math J 46, 413–424 (1994). https://doi.org/10.1007/BF01060411

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01060411

Keywords

Search

Navigation