Asymptotic Methods for Ordinary Differential Equations by R.P. Kuzmina PDF

By R.P. Kuzmina

ISBN-10: 0792364007

ISBN-13: 9780792364009

ISBN-10: 9048155002

ISBN-13: 9789048155002

during this publication we examine a Cauchy challenge for a approach of standard differential equations with a small parameter. The booklet is split into th ree elements in line with 3 ways of related to the small parameter within the process. partially 1 we research the quasiregular Cauchy challenge. Th at is, an issue with the singularity integrated 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 way of Poincare [35]. a few differential equations that are solved by way of the averaging strategy could be lowered to a quasiregular Cauchy challenge. to illustrate, in bankruptcy 2 we ponder the van der Pol challenge. partially 2 we examine the Tikhonov challenge. this can be, a Cauchy challenge for a process 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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