Skip to main content
SpringerLink
Log in

Solution of volterra integral equations of the second kind with small nonlinearities by a spline-iteration method

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We consider and justify a spline-iteration method for solving Volterra integral equations of the second kind with small nonlinearities.

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

References

  1. A. Yu. Luchka,Projective-Iteration Methods for Solution of Differential and Integral Equations [in Russian], Naukova Dumka, Kiev (1980).

    Google Scholar 

  2. A. Yu. Luchka, “A spline-iteration method for linear Volterra integral equations of the second kind,” in:Parametric Differential Equations [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1989), pp. 35–47.

    Google Scholar 

  3. S. A. Kril',Solution of Integral Difference Equations with Small Nonlinearities by the Projective-Iteration Method [in Russian], Preprint 87.17, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    A. Yu. Luchka & T. D. Mamatov

Authors
  1. A. Yu. Luchka
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. D. Mamatov
    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. 433–437, April, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Luchka, A.Y., Mamatov, T.D. Solution of volterra integral equations of the second kind with small nonlinearities by a spline-iteration method. Ukr Math J 46, 458–463 (1994). https://doi.org/10.1007/BF01060417

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01060417

Keywords

Search

Navigation