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Nonlinear Oscillations

, Volume 12, Issue 1, pp 85–93 | Cite as

Construction of solutions of integro-differential equations with restrictions and control by projection-iterative method

  • A. Yu. Luchka
  • O. B. Nesterenko
Article

We substantiate the application of the projection-iterative method to the solution of a boundary-value problem for integro-differential equations with restrictions and control.

Keywords

Integral Equation Unique Solution Approximate Solution Iterative Method Initial Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    O. B. Nesterenko, “Iterative method for the solution of integro-differential equations with restrictions,” Nelin. Kolyvannya, 10, No. 3, 336–347 (2007).MathSciNetGoogle Scholar
  2. 2.
    A. Yu. Luchka and O. B. Nesterenko, “A projection method for the solution of integro-differential equations with restrictions and control,” Nelin. Kolyvannya, 11, No. 2, 208–216 (2008).MathSciNetGoogle Scholar
  3. 3.
    A. Yu. Luchka, Projection-Iterative Methods for the Solution of Differential and Integral Equations [in Russian], Naukova Dumka, Kiev (1980).Google Scholar
  4. 4.
    A. Yu. Luchka, Projection-Iterative Methods [in Russian], Naukova Dumka, Kiev (1993).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • A. Yu. Luchka
    • 1
  • O. B. Nesterenko
    • 1
  1. 1.Institute of MathematicsUkrainian National Academy of SciencesKyivUkraine

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