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Regular Perturbation of Ordinary Differential Equations

  • S. M. Bauer
  • S. B. Filippov
  • A. L. SmirnovEmail author
  • P. E. Tovstik
  • R. Vaillancourt
Chapter
  • 602 Downloads
Part of the International Series of Numerical Mathematics book series (ISNM, volume 167)

Abstract

In this chapter we find asymptotic solutions of regularly perturbed equations and systems of equations, to which problems in mechanics are reduced. We consider Cauchy problems, problems for periodic solutions and boundary value problems.

Keywords

Regular Perturbation Periodic Solutions First-approximation Equations Direct Asymptotic Expansion Amplitude-frequency Response Characteristics (AFRC) 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • S. M. Bauer
    • 1
  • S. B. Filippov
    • 1
  • A. L. Smirnov
    • 1
    Email author
  • P. E. Tovstik
    • 1
  • R. Vaillancourt
    • 2
  1. 1.Faculty of Mathematics and MechanicsSt. Petersburg State UniversitySt. PetersburgRussia
  2. 2.Department of Mathematics and StatisticsUniversity of OttawaOttawaCanada

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