Polynomial Bounds for Oscillation of Solutions of Fuchsian Systems

Abstract

We study the problem of placing effective upper bounds for the number of zeros of solutions of Fuchsian systems on the Riemann sphere. The principal result is an explicit (non-uniform) upper bound, polynomially growing on the frontier of the class of Fuchsian systems of a given dimension n having m singular points. As a function of n, m, this bound turns… (More)

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Cite this paper

@inproceedings{Yakovenko1988PolynomialBF, title={Polynomial Bounds for Oscillation of Solutions of Fuchsian Systems}, author={S. Yakovenko}, year={1988} }