Items related to Asymptotic Analysis: Linear Ordinary Differential Equations
Synopsis
Fedoryuk's book is a unique reference for the asymptotic theory of ordinary differential equations given all the important formulae of this field. It is also an indispensable guide to the literature up to the most recent research.
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Language Notes
Text: English (translation)
Original Language: Russian
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Asymptotic Analysis: Linear Ordinary Differential Equations
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Asymptotic Analysis
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Springer Berlin Heidelberg Okt 2012, 2012
ISBN 10: 3642634354
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 376 pp. Englisch. Seller Inventory # 9783642634352
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Asymptotic Analysis
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Asymptotic Analysis
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Asymptotic Analysis
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Asymptotic Analysis
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 paramete. Seller Inventory # 5065738
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Asymptotic Analysis
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 376 pp. Englisch. Seller Inventory # 9783642634352
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