Grigorenko N. V.
Ukr. Mat. Zh. - 2009. - 61, № 1. - pp. 14-27
We show that, by using the Galois differential theory, one can substantially improve the description of algebraic-geometric operators. In particular, we give a complete description of all elementary algebraic-geometric operators, present simple relations for the construction of all second-order operators of this type, and give a criterion for testing the algebraic-geometric properties of a linear differential operator with meromorphic coefficients.
Ukr. Mat. Zh. - 2007. - 59, № 8. - pp. 1131-1134
We show how a solution of an inverse problem of the differential Galois theory can be used to construct isomonodromic deformations.