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Ukrainian Mathematical Journal

, Volume 45, Issue 4, pp 598–608 | Cite as

Asymptotic expansions of solutions to singularly perturbed systems

  • I. N. Shchitov
Article
  • 32 Downloads

Abstract

Under the condition that a degenerate system has an exponentially stable integral manifold, an asymptotic expansion of the Cauchy problem that generalizes the well known Vasil'eva expansion is constructed for a perturbed system.

Keywords

Cauchy Problem Asymptotic Expansion Integral Manifold Degenerate System Stable Integral Manifold 
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.

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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • I. N. Shchitov
    • 1
  1. 1.Leningrad Institute of Cinema EngineersLeningrad

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