Asymptotic Methods for Ordinary Differential Equations 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Kuzmina, R.P. 作者

Kluwer Academic Pub

译者

2000-9 出版日期

374 页数

$ 247.47 价格

HRD

丛书系列

9780792364009 图书编码

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Asymptotic Methods for Ordinary Differential Equations 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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This book considers the Cauchy problem for a system of ordinary differential equations with a small parameter, filling in areas that have not been extensively covered in the existing literature. The well-known types of equations, such as the regularly perturbed Cauchy problem and the Tikhonov problem, are dealt with, but new ones are also treated, such as the quasiregular Cauchy problem, and the Cauchy problem with double singularity. For each type of problem, series are constructed which generalise the well-known series of Poincare and Vasilyeva-Imanaliyev. It is shown that these series are asymptotic expansions of the solution, or converge to the solution on a segment, semiaxis or asymptotically large time intervals. Theorems are proved providing numerical estimates for the remainder term of the asymptotics, the time interval of the solution existence, and the small parameter values. Audience: This volume will be of interest to researchers and graduate students specialising in ordinary differential equations.

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