PageHeader : Funkcialaj Ekvacioj, 36 (1993) 329-357 Title : The Stokes' Multipliers and the Galois' Group of Title : a Non-Fuchsian System and the Generalised Title : Phragmen-Lindeloff Principle AuthorInfo : By AuthorInfo : Vladimir KOSTOV AuthorInfo : (Universite de Nice, France) section : 1. Introduction section : 2. Local normal forms and analytic theory of non-fuchsian linear systems (brief review) section : 3. The differential field $K_{S}$ , the Stokes' multipliers and the Galois' group of system (3) section : 4. On the growth rate of holomorphic functions in sectors section : 5. Proof of Theorem 3.2 section : Appendix. Proof of Theorems 4.3 and 4.4 section : Acknowledgement section : References section : Additional References