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Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method

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Abstract

We solve the de la Vallée Poussin problem for a functional-differential equation by the projection-iterative method. We construct an algorithm, establish conditions sufficient for the convergence of the method, and present a computational scheme.

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REFERENCES

  1. A. Yu. Luchka, Projection-Iterative Methods [in Russian], Naukova Dumka, Kiev (1993).

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  2. A. Yu. Luchka and O. M. Habrel', “Approximate solution of the de la Vallée Poussin problem for ordinary differential equations by projection-iterative method,” Dopov.Akad.Nauk Ukr.SSR, Ser.A, No. 8, 18–22 (1982).

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  3. C. J. de la Vallée Poussin, “Sur léequation différentielle du second ordre. Détermination d'une intégrale, par deux valuer assignée. Extension aux équations d'ordre n,” J.Math.Pures Appl., No. 8, 125–144 (1929).

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Authors and Affiliations

  1. Ternopil Pedagogic University, Ternopil

    O. H. Mulyavka & O. M. Habrel'

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  1. O. H. Mulyavka
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  2. O. M. Habrel'
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Mulyavka, O.H., Habrel', O.M. Approximate Solution of the de la Vallée Poussin Problem for a Differential Equation of Neutral Type by the Projection-Iterative Method. Ukrainian Mathematical Journal 55, 339–346 (2003). https://doi.org/10.1023/A:1025424631247

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  • DOI: https://doi.org/10.1023/A:1025424631247

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