Asymptotic Analysis

Name: Asymptotic Analysis
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642634352
Price: 52.77 EUR
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Linear Ordinary Differential Equations

Автор: Mikhail V. Fedoryuk

Език:

Корици: С меки корици

Издател: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Наличност: Външен склад

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In this book we present the main results on the asymptotic theory of ordinary linear differential eq...

Информация за книгата

Автор

Mikhail V. Fedoryuk

Език

Английски език

Корици

Книга - С меки корици

Издадена

2012

страници

363

EAN

9783642634352

ISBN

3642634354

Enbook ID

06936348

Издател

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Теглоt

575

Размери

155 x 235 x 21

Пълно описание

In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives. We are concerned with the behaviour of solutions with respect to the parameter and for large values of the independent variable. The literature on this question is considerable and widely dispersed, but the methods of proofs are sufficiently similar for this material to be put together as a reference book. We have restricted ourselves to homogeneous equations. The asymptotic behaviour of an inhomogeneous equation can be obtained from the asymptotic behaviour of the corresponding fundamental system of solutions by applying methods for deriving asymptotic bounds on the relevant integrals. We systematically use the concept of an asymptotic expansion, details of which can if necessary be found in [Wasow 2, Olver 6]. By the "formal asymptotic solution" (F.A.S.) is understood a function which satisfies the equation to some degree of accuracy. Although this concept is not precisely defined, its meaning is always clear from the context. We also note that the term "Stokes line" used in the book is equivalent to the term "anti-Stokes line" employed in the physics literature.

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Asymptotic Analysis

Linear Ordinary Differential Equations

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