Asymptotic Analysis is popular PDF and ePub book, written by Mikhail V. Fedoryuk in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Asymptotic Analysis can be Read Online from any device for your convenience.
Asymptotic Analysis Book PDF Summary
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.
Detail Book of Asymptotic Analysis PDF
- Author : Mikhail V. Fedoryuk
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642580161
- Genre : Mathematics
- Total Page : 370 pages
- Language : English
- PDF File Size : 11,6 Mb
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