Bolibrukh presents the negative solution of Hilbert's twenty-first problem for linear Fuchsian systems of differential equations. Methods developed by Bolibrukh in solving this problem are then applied to the study of scalar Fuchsian equations and systems with regular singular points on the Riemann sphere.

Readership

Graduate students and research mathematicians specializing in analytic theory of differential equations and mathematical physics.

Table of Contents

• Introduction
• Main definitions. The method of solution
• The Riemann-Hilbert problem for systems of three equations
• Fuchsian equations and Fuchsian systems on the Riemann sphere
• Irreducible representations
• Reducible representations
• Bibliography