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Lubomir Gavrilov

  1. The holonomy group at infinity of the Painleve VI Equation.

    Втр, 05/04/2010 - 15:01 — SomNambul
    Authors: Lubomir Gavrilov, Bassem Ben Hamed, Martine Klughertz
    Subjects: Classical Analysis and ODEs
    Abstract

    We prove that the holonomy group at infinity of the Painleve VI equation is
    virtually commutative.

  2. On the reduction of the degree of linear differential operators.

    Ср, 03/03/2010 - 16:01 — SomNambul
    Authors: Marcin Bobieński, Lubomir Gavrilov
    Subjects: Classical Analysis and ODEs
    Abstract

    Let L be a linear differential operator with coefficients in some
    differential field k of characteristic zero with algebraically closed field of
    constants. Let k^a be the algebraic closure of k. For a solution y, Ly=0, we
    determine the linear differential operator of minimal degree M and coefficients
    in k^a, such that My=0. This result is then applied to some Picard-Fuchs
    equations which appear in the study of perturbations of plane polynomial vector
    fields of Lotka-Volterra type.

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