Get Asymptotic Methods for Ordinary Differential Equations PDF

By R.P. Kuzmina

ISBN-10: 0792364007

ISBN-13: 9780792364009

ISBN-10: 9048155002

ISBN-13: 9789048155002

during this ebook we think of a Cauchy challenge for a method of standard differential equations with a small parameter. The publication is split into th ree components in response to 3 ways of related to the small parameter within the method. partially 1 we examine the quasiregular Cauchy challenge. Th at is, an issue with the singularity integrated in a bounded functionality j , which is determined by time and a small parameter. This challenge is a generalization of the regu­ larly perturbed Cauchy challenge studied by way of Poincare [35]. a few differential equations that are solved by means of the averaging approach will be lowered to a quasiregular Cauchy challenge. for instance, in bankruptcy 2 we give some thought to the van der Pol challenge. partially 2 we learn the Tikhonov challenge. this is often, a Cauchy challenge for a approach of normal differential equations the place the coefficients by means of the derivatives are integer levels of a small parameter.

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Asymptotic Methods for Ordinary Differential Equations (Mathematics and Its Applications) by R.P. Kuzmina

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