Skip to main content
SpringerLink
Log in

Acceleration of convergence of an iteration procedure for a weakly nonlinear boundary-value problem

  • Published:
Nonlinear Oscillations

Abstract

We construct a new iteration procedure for finding solutions of a Noetherian weakly nonlinear boundary-value problem for a system of ordinary differential equations in the noncritical case.

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. A. Boichuk and A. M. Samoilenko, Generalized Inverse Operators and Fredholm Boundary-Value Problems, VSP, Utrecht (2004).

    MATH  Google Scholar 

  2. E. A. Grebenikov and Yu. A. Ryabov, Constructive Methods for Analysis of Nonlinear Systems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  3. L. V. Kantorovich and G. P. Akilov, Functional Analysis [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  4. M. A. Krasnosel’skii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii, and V. Ya. Stetsenko, Approximate Solution of Operator Equations [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  5. J. E. Dennis, Jr., and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Englewood Cliffs, NJ (1983).

    MATH  Google Scholar 

  6. A. A. Boichuk and S. M. Chuiko, “Autonomous weakly nonlinear boundary-value problems,” Differents. Uravn., No. 10, 1668–1674 (1992).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Slavyansk Pedagogic University, Slavyansk

    S. M. Chuiko

Authors
  1. S. M. Chuiko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Neliniini Kolyvannya, Vol. 9, No. 1, pp. 127–132, January–March, 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chuiko, S.M. Acceleration of convergence of an iteration procedure for a weakly nonlinear boundary-value problem. Nonlinear Oscill 9, 125–130 (2006). https://doi.org/10.1007/s11072-006-0031-4

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11072-006-0031-4

Keywords

Search

Navigation