Skip to main content
SpringerLink
Log in

Investigation of even systems of nonlinear functional differential equations with restrictions

  • Published:
Nonlinear Oscillations

Abstract

We establish consistency conditions for even systems of nonlinear functional differential equations with restrictions and substantiate the applicability of an iterative method to these problems.

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. D. Myshkis, Linear Differential Equations with Delayed Argument [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  2. G. Pelyukh and A. N. Sharkovskii, Introduction to the Theory of Functional Equations [in Russian], Naukova Dumka, Kiev (1974).

    Google Scholar 

  3. J. Hale, Theory of Functional Differential Equations, Springer, New York (1977).

    MATH  Google Scholar 

  4. N. V. Azbelev, V. P. Maksimov, and L. F. Rakhmatullina, Introduction to the Theory of Functional Differential Equations [in Russian], Nauka, Moscow (1991).

    MATH  Google Scholar 

  5. A. A. Boichuk, V. F. Zhuravlev, and A. M. Samoilenko, Generalized Inverse Operators and Noetherian Boundary-Value Problems [in Russian], Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (1995).

    Google Scholar 

  6. A. Yu. Luchka, “Methods for the solution of systems of functional differential equations with restrictions,” in: Boundary-Value Problems for Differential Equations [in Ukrainian], Issue 13, Prut, Chernivtsi (2006), pp. 134–152.

  7. A. Yu. Luchka, “Even systems of functional differential equations with restrictions and methods for their solution,” Nelin. Kolyvannya, 10, No. 1, 113–125 (2007).

    MathSciNet  Google Scholar 

  8. A. Yu. Luchka and V. A. Feruk, “Projection-iterative method for systems of differential equations with delay and restrictions,” Nelin. Kolyvannya, 6, No. 2, 206–232 (2003).

    MATH  MathSciNet  Google Scholar 

  9. V. A. Feruk, “Projection-iterative method for systems of linear differential equations with delay of neutral type and restrictions,” Nelin. Kolyvannya, 9, No. 4, 564–573 (2006).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

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

    V. A. Feruk

Authors
  1. V. A. Feruk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Neliniini Kolyvannya, Vol. 11, No. 2, pp. 252–260, April–June, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feruk, V.A. Investigation of even systems of nonlinear functional differential equations with restrictions. Nonlinear Oscill 11, 265–275 (2008). https://doi.org/10.1007/s11072-008-0029-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11072-008-0029-1

Keywords

Search

Navigation