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

By R.P. Kuzmina

during this publication we give some thought to a Cauchy challenge for a approach of standard differential equations with a small parameter. The ebook is split into th ree components in accordance with 3 ways of related to the small parameter within the procedure. partly 1 we learn 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 via the averaging process might be decreased to a quasiregular Cauchy challenge. to illustrate, in bankruptcy 2 we reflect on the van der Pol challenge. partially 2 we learn the Tikhonov challenge. this is often, a Cauchy challenge for a procedure 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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