Ukrainian Mathematical Journal

, Volume 59, Issue 3, pp 459–483 | Cite as

Averaging of initial-value and multipoint problems for oscillation systems with slowly varying frequencies and deviated argument

  • A. M. Samoilenko
  • R. I. Petryshyn
  • I. M. Danylyuk
Article

Abstract

We prove new theorems on the substantiation of the method of averaging over all fast variables on a segment and a semiaxis for multifrequency systems with deviated argument in slow and fast variables. An algorithm for the solution of a multipoint problem with parameters is studied, and an estimate for the difference of solutions of the original problem and the averaged problem is established.

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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • A. M. Samoilenko
    • 1
  • R. I. Petryshyn
    • 2
  • I. M. Danylyuk
    • 2
  1. 1.Institute of MathematicsUkrainian National Academy of SciencesKyiv
  2. 2.Chernivtsi National UniversityChernivtsi

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