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Truncation method for countable-point boundary-value problems in the space of bounded number sequences

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Abstract

We consider possible methods for the reduction of a countable-point nonlinear boundary-value problem with nonlinear boundary condition on a segment to a finite-dimensional multipoint problem constructed on the basis of the original problem by the truncation method. The results obtained are illustrated by examples.

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Authors and Affiliations

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

    A. M. Samoilenko

  2. Kam’yanets’-Podil’s’kyi University, Kam’yanets’-Podil’s’kyi

    Yu. V. Teplins’kyi & V. A. Nedokis

Authors
  1. A. M. Samoilenko
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  2. Yu. V. Teplins’kyi
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  3. V. A. Nedokis
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 9, pp. 1203–1230, September, 2004.

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Samoilenko, A.M., Teplins’kyi, Y.V. & Nedokis, V.A. Truncation method for countable-point boundary-value problems in the space of bounded number sequences. Ukr Math J 56, 1429–1462 (2004). https://doi.org/10.1007/s11253-005-0126-6

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  • DOI: https://doi.org/10.1007/s11253-005-0126-6

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