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Weakly nonlinear boundary-value problem in a special critical case

  • S. M. Chuiko
Article

We investigate the problem of the determination of conditions for the existence of solutions of weakly nonlinear Noetherian boundary-value problems for systems of ordinary differential equations and the construction of these solutions. We consider the special critical case where the equation for finding the generating solution of a weakly nonlinear Noetherian boundary-value problem turns into an identity. We improve the classification of critical cases and construct an iterative algorithm for finding solutions of weakly nonlinear Noetherian boundary-value problems in the special critical case.

Keywords

Generate Solution Iterative Procedure Critical Case Solvability Condition Periodic Problem 
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

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  • S. M. Chuiko
    • 1
  1. 1.Slavyansk Pedagogic UniversitySlavyanskUkraine

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