English

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

Classical Analysis and ODEs 2010-03-16 v1 Complex Variables Dynamical Systems

Abstract

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

Keywords

Cite

@article{arxiv.math/0409198,
  title  = {Oscillation of linear ordinary differential equations: on a theorem by A. Grigoriev},
  author = {Sergei Yakovenko},
  journal= {arXiv preprint arXiv:math/0409198},
  year   = {2010}
}

Comments

16 pages

R2 v1 2026-07-22T17:09:41.732Z