Download E-books Matching of Asymptotic Expansions of Solutions of Boundary Value Problems (Translations of Mathematical Monographs) PDF

By A. M. Ilin

This ebook offers with the answer of singularly perturbed boundary worth difficulties for differential equations. It offers, for the 1st time, a close and systematic remedy of the model of the matching procedure constructed by means of the writer and his colleagues. A vast classification of difficulties is taken into account from a unified perspective, and the approach for developing asymptotic expansions is mentioned intimately. The ebook covers formal buildings of asymptotic expansions and offers rigorous justifications of those asymptotics. One spotlight is a whole asymptotic research of Burger's equation with small diffusion locally of the gradient disaster element. The booklet is appropriate as a textual content for graduate learn in asymptotic tools in calculus and singularly perturbed equations.

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