Asymptotic Methods for Ordinary Differential Equations pdf epub mobi txt 電子書下載 2024

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Kuzmina, R.P.

Kluwer Academic Pub

2000-9

374

$ 247.47

HRD

9780792364009

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发表于2024-11-30

Asymptotic Methods for Ordinary Differential Equations epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Asymptotic Methods for Ordinary Differential Equations pdf epub mobi txt 電子書下載 2024

圖書描述

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.

Asymptotic Methods for Ordinary Differential Equations 下載 mobi epub pdf txt 電子書