# Download e-book for iPad: Asymptotic Methods for Ordinary Differential Equations by R.P. Kuzmina

By R.P. Kuzmina

ISBN-10: 0792364007

ISBN-13: 9780792364009

ISBN-10: 9048155002

ISBN-13: 9789048155002

during this ebook we ponder a Cauchy challenge for a procedure of standard differential equations with a small parameter. The e-book is split into th ree components in accordance with 3 ways of concerning the small parameter within the method. partly 1 we examine the quasiregular Cauchy challenge. Th at is, an issue with the singularity incorporated in a bounded functionality j , which relies on time and a small parameter. This challenge is a generalization of the regu­ larly perturbed Cauchy challenge studied by means of Poincare [35]. a few differential equations that are solved through the averaging procedure might be lowered to a quasiregular Cauchy challenge. for example, in bankruptcy 2 we think of the van der Pol challenge. partially 2 we research the Tikhonov challenge. this is often, a Cauchy challenge for a method of normal differential equations the place the coefficients via the derivatives are integer levels of a small parameter.

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