Oscillation of linear ordinary differential equations: on a theorem of A. Grigoriev

  • Authors:

  • Sergei Yakovenko

  • Affiliations:

  • Weizmann Institute of Science, Rehovot, Israel

  • Venue:
  • Journal of Dynamical and Control Systems
  • Year:
  • 2006

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Abstract

We give a simplified proof and an improvement of a recent theorem of A. Grigoriev, placing an upper bound for the number of roots of linear combinations of solutions of systems of linear equations with polynomial or rational coefficients.