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Boundary-value problems with parameters for a multifrequency oscillation system

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Abstract

By using the averaging method, we prove the solvability of boundary-value problems with parameters for nonlinear oscillation systems. We obtain estimates for the deviation of solutions of averaged problems from solutions of original problems.

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Authors and Affiliations

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

    A. M. Samoilenko

  2. Chernovtsy University, Chernovtsy

    Ya. R. Petryshyn

Authors
  1. A. M. Samoilenko
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  2. Ya. R. Petryshyn
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 4, pp. 581–589, April, 1997.

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Samoilenko, A.M., Petryshyn, Y.R. Boundary-value problems with parameters for a multifrequency oscillation system. Ukr Math J 49, 643–653 (1997). https://doi.org/10.1007/BF02487328

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  • DOI: https://doi.org/10.1007/BF02487328

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