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Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems

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Ukrainian Mathematical Journal Aims and scope

Abstract

By using the averaging method, we prove the solvability of boundary-value problems with parameters for nonlinear oscillating systems with pulse influence at fixed times. We also obtain estimates for the deviation of solutions of the averaged problem from solutions of the original problem.

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Authors and Affiliations

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

    A. M. Samoilenko

  2. Chernivtsi National University, Chernivtsi

    R. I. Petryshyn & L. M. Lakusta

Authors
  1. A. M. Samoilenko
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  2. R. I. Petryshyn
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  3. L. M. Lakusta
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Samoilenko, A.M., Petryshyn, R.I. & Lakusta, L.M. Averaging of Boundary-Value Problems with Parameters for Multifrequency Impulsive Systems. Ukrainian Mathematical Journal 54, 1492–1508 (2002). https://doi.org/10.1023/A:1023467902823

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  • DOI: https://doi.org/10.1023/A:1023467902823

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