Linear differential equations in the complex domain : problems of analytic continuation

Structures of analytic continuation existence theorem of Grauert a theorem of G.D.Birkhoff the Riemann problem linear differential equations on a sectorial domain the Stokes phenomena appendix 1 - the Hukuhara Turrittin theorem in terms of D-kappa modules appendix 2 - Gevrey asymptotics appendix 3 - cohomological methods appendix 4 - k-summability appendix 5 - differential equations containing paramaters.