R.P. Kuzmina's 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 approach of normal differential equations with a small parameter. The e-book is split into th ree components based on 3 ways of concerning the small parameter within the approach. partly 1 we examine the quasiregular Cauchy challenge. Th at is, an issue with the singularity incorporated in a bounded functionality j , which will depend on time and a small parameter. This challenge is a generalization of the regu­ larly perturbed Cauchy challenge studied via Poincare [35]. a few differential equations that are solved by means of the averaging technique could be lowered to a quasiregular Cauchy challenge. to illustrate, in bankruptcy 2 we contemplate the van der Pol challenge. partially 2 we research the Tikhonov challenge. this can be, a Cauchy challenge for a process of standard 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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