Ukrainian Mathematical Journal

, Volume 49, Issue 6, pp 865–870 | Cite as

Construction of approximations for a stationary solution of a system of singular ordinary differential equations

  • I. M. Romanyshyn
  • L. A. Synyts’kyi


We propose a procedure for the construction of successive approximations of a stationary solution of a system of nonlinear ordinary differential equations with a small parameter with the derivative. We present sufficient conditions for the convergence of constructed approximations to the required stationary solution.


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Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • I. M. Romanyshyn
    • 1
  • L. A. Synyts’kyi
    • 2
  1. 1.Physicomechanical InstituteUkrainian Academy of SciencesLviv
  2. 2.Lviv UniversityLviv

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