On unstable manifolds in a neighborhood of an essentially nonhyperbolic point. (Q1432535)

In generalization of the results [\textit{I. N. Kostin}, Asymptotic Anal. 16, 203--222 (1998; Zbl 0932.37068); \textit{O. A. Ladyzhenskaya} and \textit{V. A. Solonnikov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 38, 46--93 (1973; Zbl 0348.35080)], the author gives a constructive description of an unstable manifold in the neighborhood of an isolated nonhyperbolic point and estimates the rate of attraction to this manifold for a creation class of mappings.