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ISBN: 9789048155002

In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involvin… mais…

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Asymptotic Methods for Ordinary Differential Equations - novo libro

ISBN: 9789048155002

In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involvin… mais…

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Asymptotic Methods for Ordinary Differential Equations - novo libro

ISBN: 9789048155002

In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involvin… mais…

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R.P. Kuzmina:
Asymptotic Methods for Ordinary Differential Equations - Livro de bolso

ISBN: 9789048155002

Paperback, [PU: Springer], In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. This problem is a generalization of the regu … mais…

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Asymptotic Methods for Ordinary Differential Equations by R.P. Kuzmina Paperback | Indigo Chapters

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 Poincaré 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.

Dados detalhados do livro - Asymptotic Methods for Ordinary Differential Equations by R.P. Kuzmina Paperback | Indigo Chapters


EAN (ISBN-13): 9789048155002
ISBN (ISBN-10): 9048155002
Livro de capa dura
Livro de bolso
Ano de publicação: 2010
Editor/Editora: R.P. Kuzmina
376 Páginas
Peso: 0,567 kg
Língua: eng/Englisch

Livro na base de dados desde 2011-10-16T00:07:24+01:00 (Lisbon)
Página de detalhes modificada pela última vez em 2023-01-23T16:19:19+00:00 (Lisbon)
Número ISBN/EAN: 9789048155002

Número ISBN - Ortografia alternativa:
90-481-5500-2, 978-90-481-5500-2
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: kuzmin, poincare
Título do livro: ordinary differential equations, something out the ordinary


Dados da editora

Autor: R.P. Kuzmina
Título: Mathematics and Its Applications; Asymptotic Methods for Ordinary Differential Equations
Editora: Springer; Springer Netherland
364 Páginas
Ano de publicação: 2010-12-15
Dordrecht; NL
Impresso / Feito em
Língua: Inglês
109,99 € (DE)

BC; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Cauchy problem; differential equation; ordinary differential equation; ordinary differential equations; Differential Equations; BB

1. Solution Expansions of the Quasiregular Cauchy Problem.- 2. The van der Pol Problem.- 3. The Boundary Functions Method.- 4. Proof of Theorems 28.1–28.4.- 5. The Method of Two Parameters.- 6. The Motion of a Gyroscope Mounted in Gimbals.- 7. Supplement.- 8. The Boundary Functions Method.- 9. The Method of Two Parameters.

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