Nonlinear Oscillations

, Volume 12, Issue 3, pp 417–428 | Cite as

Autonomous noetherian boundary-value problem in the critical case

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We establish constructive conditions for the existence of solutions of an autonomous Noetherian weakly nonlinear boundary-value problem for a system of ordinary differential equations in the critical case and develop a modified iterative procedure for finding its solutions.

Keywords

Iterative Procedure Small Neighborhood Nonlinear Oscillation Critical Case Ukrainian National Academy 
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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Slavyansk Pedagogic UniversitySlavyanskUkraine
  2. 2.Institute of MathematicsUkrainian National Academy of SciencesKyivUkraine

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