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A. M. Samoilenko's numerical-analytic method without determining equation

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Abstract

We suggest a modification of A. M. Samoilenko's numerical-analytic method for investigating the problemdx/dt=f(t,x),

{here,

is a linear continuous operator} in which it is not necessary to solve an additional determining equation.

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References

  1. A. M. Samoilenko and N. I. Ronto,Numerical-Analytic Methods in the Theory of Boundary-Value Problems for Ordinary Differential Equations [in Russian], Naukova Dumka, Kiev (1992).

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Authors and Affiliations

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

    E. P. Trofimchuk

  2. Kiev University, Kiev

    A. V. Kovalenko

Authors
  1. E. P. Trofimchuk
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  2. A. V. Kovalenko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 138–140, January, 1995.

This research was partially supported by the Ukrainian State Committee on Science and Technology.

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Trofimchuk, E.P., Kovalenko, A.V. A. M. Samoilenko's numerical-analytic method without determining equation. Ukr Math J 47, 163–166 (1995). https://doi.org/10.1007/BF01058810

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  • DOI: https://doi.org/10.1007/BF01058810

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