Differential turning point in the theory of singular perturbations II. (Q1398495)

The asymptotic behaviour of the solutions of a Liouville-type singularly perturbed differential equation with a differential turning point is considered. By introducing a new variable, a regularization of this equation is obtained without using the solution of the degenerate equation. The author proves that the restrictions of the asymptotic solutions of this extended equation are asymptotic series for the problem. Part I, cf. the following review (Zbl 1043.34062).