Last edited by Tojakasa
Monday, May 11, 2020 | History

5 edition of Asymptotic Analysis of Differential Equations found in the catalog.

Asymptotic Analysis of Differential Equations

by Roscoe B. White

  • 40 Want to read
  • 25 Currently reading

Published by Imperial College Press .
Written in English

    Subjects:
  • Differential Equations,
  • Science/Mathematics,
  • Mathematics,
  • Mathematical Analysis

  • The Physical Object
    FormatPaperback
    Number of Pages304
    ID Numbers
    Open LibraryOL8628170M
    ISBN 101860946127
    ISBN 109781860946127

    Asymptotic Analysis Of Differential Equations (Revised Edition) by Roscoe B. White, , available at Book Depository with free delivery worldwide.   Hardcover edition. The foundations of the study of asymptotic series in the theory of differential equations were laid by Poincaré in the late 19th century, but it was not until the middle of .

    Find many great new & used options and get the best deals for Asymptotic Analysis of Differential Equations (Revised Edition) by Roscoe White (, Paperback) at the best online prices at eBay! . The spirit of Martin Kruskal and Marshall Rosenbluth, for instance, are alive and well preserved in this mini-wonder of a textbook, Asymptotic Analysis of Differential Equations, Second Edition, published by Imperial College Press, Once the style issue is settled, then there is the matter of choice of analysis /5.

    This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations.   This paper deals with the asymptotic stability of theoretical solutions and numerical methods for systems of neutral differential equationsx′=Ax′(t−τ)+Bx(t)+Cx(t−τ), whereA, B, andC are constant complexN ×N matrices, and τ>0. A necessary and sufficient condition such that the differential equations Cited by:


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Asymptotic Analysis of Differential Equations by Roscoe B. White Download PDF EPUB FB2

The emphasis is on the various techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.

The book gives the practical means of finding asymptotic solutions to differential equations Cited by: An essential graduate level text on the asymptotic analysis of ordinary differential equations, this book covers all the important methods including dominant balance, the use of divergent asymptotic series, phase integral methods, asymptotic evaluation of integrals, and boundary layer : Paperback.

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 Format: Paperback. : Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations (World Scientific Series on Nonlinear Science) (): Samoilenko, Anatoliy M, Stanzhytskyi, Oleksandr: BooksCited by: The book gives the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to.

Asymptotic analysis of differential equations. [R B White] -- This text gives the practical means of finding asymptotic solutions to differential equations, and relates WKB mrthods, integral solutions, Kruskal-Newton diagrams.

An essential graduate level text on the asymptotic analysis of ordinary differential equations, this book covers all the important methods including dominant balance, the use of divergent asymptotic series, phase integral methods, asymptotic evaluation of integrals, and boundary layer analysis.

The book presents a balanced view of the methods and their usefulness: integrals on the real line and in the complex plane which arise in different contexts, and solutions of differential equations not. The book gives the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one Author: R.B.

White. Linear Ordinary Differential Equations. Author: Mikhail V. Fedoryuk. Publisher: Springer Science & Business Media ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» In this book we present the main results on the asymptotic theory of ordinary linear differential equations.

An essential graduate level text on the asymptotic analysis of ordinary differential equations, this book covers all the important methods including dominant balance, the use of divergent asymptotic series, phase integral methods, asymptotic evaluation of integrals, and boundary layer analysis.

The book gives the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary. 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. This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic.

Introduction 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. The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters. regular perturbation problem, since we have found asymptotic expansions for all three roots of the cubic equation using the simple expansion ().

Figure showsthatthefunctionx3−x+. Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc.

Search Search. Quick Search anywhere. Asymptotic Analysis of Differential Equations. Metrics. Downloaded 3. Asymptotic Integration of Differential and Difference Equations is a self-contained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field.

It will appeal to researchers in asymptotic integration as well to non-experts who are interested in the asymptotic. The book presents a balanced view of the methods and their usefulness: integrals on the real line and in the complex plane which arise in different contexts, and solutions of differential equations.

DOI link for Asymptotic Analysis and the Numerical Solution of Partial Differential Equations. Asymptotic Analysis and the Numerical Solution of Partial Differential Equations book Book Edition: 1st Edition.Asymptotic Analysis for Functional Stochastic Differential Equations.

Authors: Bao, Jianhai, Yin Concentrating on such systems that are described by functional stochastic differential equations. The book gives the practical means of finding asymptotic solutions to differential equations, and relates Wkb methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one another.

The construction of integral solutions and analytic continuation are used in conjunction with the asymptotic analysis 4/5(1).