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Asymptotic Methods for Ordinary Differential Equations (Hardcover, 2000) Loot Price: R4,310 Discovery Miles 43 100
Asymptotic Methods for Ordinary Differential Equations (Hardcover, 2000): R.P. Kuzmina
Asymptotic Methods for Ordinary Differential Equations (Hardcover, 2000): R.P. Kuzmina

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Asymptotic Methods for Ordinary Differential Equations (Hardcover, 2000)

R.P. Kuzmina

Series: Mathematics and its Applications, v. 512

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Loot Price R4,310 Discovery Miles 43 100

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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: Kluwer Academic Publishers
Country of origin: United States
Series: Mathematics and its Applications, v. 512
Release date: 2001
First published: September 2000
Authors: R.P. Kuzmina
Dimensions: 235 x 155 x 22mm (L x W x T)
Format: Hardcover - Laminated cover
Pages: 364
Edition: 2000
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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