Regular perturbation of ordinary differential equations

S. M. Bauer, S. B. Filippov, A. L. Smirnov, P. E. Tovstik, R. Vaillancourt

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

1 Scopus citations


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.

Original languageEnglish
Title of host publicationInternational Series of Numerical Mathematics
PublisherSpringer Nature
Number of pages65
StatePublished - 1 Jan 2015

Publication series

NameInternational Series of Numerical Mathematics
ISSN (Print)0373-3149
ISSN (Electronic)2296-6072

Scopus subject areas

  • Numerical Analysis
  • Control and Optimization
  • Applied Mathematics


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