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Ukrainian Mathematical Journal

, Volume 62, Issue 1, pp 56–86 | Cite as

Conditions for the existence of solutions of real nonautonomous systems of quasilinear differential equations vanishing at a singular point

  • V. M. Evtukhov
  • A. M. Samoilenko
Article

We establish conditions for the existence of solutions vanishing at a singular point for various classes of systems of quasilinear differential equations appearing in the investigation of the asymptotic behavior of solutions of essentially nonlinear nonautonomous differential equations of higher orders.

Keywords

Differential Equation Recurrence Relation Asymptotic Property Nonlinear Differential Equation Parameter Family 
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. 2010

Authors and Affiliations

  • V. M. Evtukhov
    • 1
  • A. M. Samoilenko
    • 2
  1. 1.Odessa National UniversityOdessaUkraine
  2. 2.Institute of MathematicsUkrainian National Academy of SciencesKievUkraine

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