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Asymptotic Methods for Ordinary Differential Equations (Hardcover, 2000 ed.) Loot Price: R2,446
Discovery Miles 24 460
Asymptotic Methods for Ordinary Differential Equations (Hardcover, 2000 ed.): R.P. Kuzmina
Asymptotic Methods for Ordinary Differential Equations (Hardcover, 2000 ed.): R.P. Kuzmina

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Asymptotic Methods for Ordinary Differential Equations (Hardcover, 2000 ed.)

R.P. Kuzmina

Series: Mathematics and Its Applications, 512

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Loot Price R2,446 Discovery Miles 24 460 | Repayment Terms: R227 pm x 12*

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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 PoincarA(c) 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.

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 512
Release date: 2001
First published: 2000
Authors: R.P. Kuzmina
Dimensions: 235 x 155 x 22mm (L x W x T)
Format: Hardcover
Pages: 364
Edition: 2000 ed.
ISBN-13: 978-0-7923-6400-9
Barcode: 9780792364009
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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LSN: 0-7923-6400-7

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