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Asymptotic Methods for Ordinary Differential Equations by R.P. Kuzmina
Asymptotic Methods for Ordinary Differential Equations by R.P. Kuzmina
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Asymptotic Methods for Ordinary Differential Equations

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Description

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.
Release date NZ
December 15th, 2010
Author
Audience
  • Professional & Vocational
Edition
Softcover reprint of hardcover 1st ed. 2000
Illustrations
X, 364 p.
Pages
364
Dimensions
156x234x19
ISBN-13
9789048155002
Product ID
8963793

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Asymptotic Methods for Ordinary Differential Equations on Hardback by R.P. Kuzmina
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Asymptotic Methods for Ordinary Differential Equations
by R.P. Kuzmina ~ Hardback
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