Algebraic approach to differential equations (World Scientific, 2010)
The book consists of lecture notes given in the Abdus Salam International Centre for Theoretical Physics at the Bibliotheca Alexandrina, Alexandria, Egypt in November 2007
Includes bibliographical references
D-modules in dimension I / L. Narváes Macarro -- Modules over the Weyl algebra / F.J. Castro Jiménez -- Geometry of characteristic varieties / D.T. Lê and B. Teissier -- Singular integrals and the stationary phase methods / E. Delabaere -- Hypergeometric functions and hyperplane arrangements / M. Jambu -- Bernstein-Sato polynomials and functional equations / M. Granger -- Differential algebraic groups / B. Malgrange
Mixing elementary results and advanced methods, "Algebraic Approach to Differential Equations" aims to accustom differential equation specialists to algebraic methods in this area of interest. It presents material from a school organized by The Abdus Salam International Centre for Theoretical Physics (ICTP), the Bibliotheca Alexandrina, and the International Centre for Pure and Applied Mathematics (CIMPA)