By A. M. Ilin
This publication offers with the answer of singularly perturbed boundary price difficulties for differential equations. It offers, for the 1st time, an in depth and systematic remedy of the model of the matching procedure constructed by way of the writer and his colleagues. A huge category of difficulties is taken into account from a unified perspective, and the strategy for developing asymptotic expansions is mentioned intimately. The publication covers formal structures of asymptotic expansions and offers rigorous justifications of those asymptotics. One spotlight is an entire asymptotic research of Burger's equation with small diffusion in the community of the gradient disaster aspect. The booklet is acceptable as a textual content for graduate examine in asymptotic tools in calculus and singularly perturbed equations.
Readership: Graduate scholars and researchers focusing on differential equations.