Error bounds for asymptotic solutions of differential equations. 2. The general case

The result s of the preceding pape r are extend ed to the general system of n first-order differential eq uations having an irregular singu larit y of arbitrary rank at infinity.Formal solutions are explicitly constructed for th e syste m in c anonical form.Proofs of existence and uniqu e ness of solutions of integral equation s defining th e e rror are given.As an example, the case n = 2 is solved completely, and a flow chart of the transformations of this case to canonical form is included..