Skip to main content
SpringerLink
Log in

Construction of solutions of weakly nonlinear integral equations with restrictions

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

We establish conditions for the existence of solutions of weakly nonlinear integral equations with restrictions and construct these solutions.

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. Yu. Luchka and V. F. Mel’nychuk, “Approximation-iterative method for weakly nonlinear integral equations with restrictions,” Nelin. Kolyvannya, 15, No. 1, 89–111 (2012); English translation: J. Math. Sci., 187, Issue 4, 471–493 (2012).

    Article  Google Scholar 

  2. A. Yu. Luchka, “Methods for the investigation of systems of differential equations with restrictions,” in: Proceedings of the Ukrainian Mathematical Congress “Differential Equations and Nonlinear Oscillations” (Kyiv, 2002) [in Ukrainian] (2002), pp. 43–59.

  3. A. Yu. Luchka and O. B. Nesterenko, “Methods for the solution of boundary-value problems for weakly nonlinear integro-differential equations with parameters and restrictions,” Ukr. Mat. Zh., 61, No. 5, 672–679 (2009); English translation: Ukr. Math. J., 61, No. 5, 801–809 (2009).

    Article  MathSciNet  Google Scholar 

  4. A. Yu. Luchka and V. A. Feruk, “Modified projection-iterative method for systems of quasilinear differential equations with delay and restrictions,” Nelin. Kolyvannya, 7, No. 2, 188–207 (2004); English translation: 7, No. 2, 187–206 (2004).

    MathSciNet  MATH  Google Scholar 

  5. A. Yu. Luchka and O. M. Voznyuk, “Iteration method for integral equations with constraints,” Nelin. Kolyvannya, 5, No. 2, 179–192 (2002); English translation: Nonlin. Oscillations, 5, No. 2, 171–183 (2002).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    A. Yu. Luchka & V. F. Mel’nychuk

Authors
  1. A. Yu. Luchka
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. F. Mel’nychuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Neliniini Kolyvannya, Vol. 15, No. 2, pp. 215–222, April–June, 2012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Luchka, A.Y., Mel’nychuk, V.F. Construction of solutions of weakly nonlinear integral equations with restrictions. J Math Sci 189, 805–812 (2013). https://doi.org/10.1007/s10958-013-1220-1

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-013-1220-1

Keywords

Search

Navigation