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

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

2004-09-13

arxiv.org/abs/math/0409198v1

J. Dyn. Control Syst. 12 (2006), no. 3, 433--449.

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

10.1007/s10450-006-0008-8

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.

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