Proceedings of the Steklov Institute of Mathematics 1996; 145 pp; softcover Volume: 206 Reprint/Revision History: reprinted 1998 ISBN10: 0821804669 ISBN13: 9780821804667 List Price: US$134 Member Price: US$107.20 Order Code: STEKLO/206
 Bolibrukh presents the negative solution of Hilbert's twentyfirst 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 RiemannHilbert problem for systems of three equations
 Fuchsian equations and Fuchsian systems on the Riemann sphere
 Irreducible representations
 Reducible representations
 Bibliography
