Nonsmooth Ducks and Regular Perturbations of Rivers, II

At the end of part I of this article, we showed in Theorem 2.how one can obtain «-expansions of order 1 for persistent solutions, in the case of «-perturbations of some ODE possessing rivers. Now we state conditions under which one can iterate the process described in Theorem 2, to give rise to «-expansions with several terms. At the same time, we shall obtain induction formulas to calculate such terms.