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Asymptotic Treatment of Differential Equations (Applied Mathematics and Mathematical Computation Series)

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Chapman & Hall/CRC
The Physical Object
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Open LibraryOL7478860M
ISBN 100412558602
ISBN 139780412558603

They are applied to the asymptotic study of Asymptotic Treatment of Differential Equations book mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity.

Due to the generality of presentation this applications-oriented book is suitable for the solving of differential equations from. Asymptotic Treatment of Differential Equations (Applied Mathematics and Mathematical Computation) Softcover reprint of the original 1st ed.

Edition by Adelina Georgescu (Author) › Visit Amazon's Adelina Georgescu Page. Find all the books, read about the author, and more. Cited by: Get this from a library. Asymptotic treatment of differential equations. [Adelina Georgescu] -- "The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book.

They are applied to the asymptotic study of several. Asymptotic Treatment of Differential and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity.

Due to the generality of. 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 : Paperback.

This three-part treatment of partial differential equations focuses on elliptic and evolution equations. Largely self-contained, it concludes with a series of independent topics directly related to the methods and results of the preceding sections that helps introduce readers to advanced topics for further study.

Geared toward graduate and postgraduate students of mathematics, this volume also. A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations.

and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra. 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 the use of analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods.

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Details Asymptotic Treatment of Differential Equations (Applied Mathematics and Mathematical Computation Series) EPUB

This chapter discusses the elementary higher-order differential equations. A differential equation of order n is a relation F(x, y, y′, y′,y (n)) = 0, F y(n) # 0. The general solution of the equation is a function y = f(x, c l, c n) of x, which depends on n independent parameters c 1, c 2,c n and such that y satisfies the equation identically in x.

Linear Ordinary Differential Equations. Author: Mikhail V.

Description Asymptotic Treatment of Differential Equations (Applied Mathematics and Mathematical Computation Series) FB2

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 and systems where there is a small parameter in the higher derivatives.

Theories investigated throughout the book can be applied to other problems related to partial differential equations, making it an important text for students and researchers within the discipline. Asymptotic Issues for Some Partial Differential Equations is an updated account of ℓ Goes to Plus Infinity, published by Birkhäuser in Read "Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations" by Valery V.

Kozlov available from Rakuten Kobo. The book is dedicated to the construction of particular solutions of systems of ordinary differential equations in the f Brand: Springer Berlin Heidelberg. This book presents the theory of asymptotic integration for both linear differential and difference equations.

This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown. 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 Brand: Springer International Publishing.

Download Asymptotic Treatment of Differential Equations (Applied Mathematics and Mathematical Computation Series) EPUB

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. “This volume, on nonstiff equations, is the second of a two-volume set. This second volume treats stiff differential equations and differential-algebraic equations.

This book is highly recommended as a text for courses in numerical methods for ordinary differential equations and as a reference for the worker.

Ribenboim, The book of Prime Number Records, M.S.P. Eastham, The Asymptotic Solutions of Linear Differential Systems, Clarendon, Oxford, Google Scholar Elaydi S.N. () Asymptotic Behavior of Difference Equations.

In: An Introduction to Difference Equations. Undergraduate Texts in Cited by: 1. Includes a treatment of dynamic equations on time scales This book presents the theory of asymptotic integration for both linear differential and difference equations.

This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. "A book of great value it should have a profound influence upon future research." — Mathematical Reviews. In this outstanding text, the first devoted exclusively to the subject, author Wolfgang Wasow concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions.

Theory and Applications. Author: Bill Goodwine; Publisher: Springer Science & Business Media ISBN: Category: Mathematics Page: View: DOWNLOAD NOW» This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. In this paper we applied a new analytic approximate technique Optimal Homotopy Asymptotic Method (OHAM) for treatment of coupled differential- difference equations (DDEs).

To see the efficiency and reliability of the method, we consider Relativistic Toda coupled nonlinear differential-difference by: 1.

Based on his extensive experience as an educator, F. Tricomi wrote this practical and concise teaching text to offer a clear idea of the problems and methods of the theory of differential equations. The treatment is geared toward advanced undergraduates and Brand: Dover Publications.

An original, effective approach teaches by reviewing worked examples in detail. "Every step in the mathematical process is explained, its purpose and necessity made clear the reader not only has no difficulty in following the rigorous proofs, but even turns to them with eager expectation." — Nuclear Physics.

edition. The book presents a systematic and compact treatment of the qualitative theory of half-linear differential equations. It contains the most updated and comprehensive material and represents the first attempt to present the results of the rapidly developing theory of half-linear differential equations in a unified form.

We applied a new analytic approximate technique, optimal homotopy asymptotic method (OHAM), for treatment of differential-difference equations (DDEs). To see the efficiency and reliability of the method, we consider Volterra equation in different form.

It provides us with a convenient way to control the convergence of approximate solutions when it is compared with other methods of solution Cited by: 3.

Asymptotic separation between solutions of Caputo fractional stochastic differential equations Article (PDF Available) in Stochastic Analysis and. I have been asked to find the asymptotic solution to a differential equation that was to be solved numerically using mathematica, however I don't really understand what an asymptotic solution really means.

I know what an asymptote is, but don't see it's importance or connection to the solution of a differential equation. The field of partial differential equations is an extremely important component of modern mathematics. It has great intrinsic beauty and virtually unlimited applications.

This book, written for graduate-level students, grew out of a series of lectures the late Professor Petrovsky Pages: This paper investigates the asymptotic behavior of weak solutions to the generalized nonlinear partial differential equation model.

It is proved that every perturbed weak solution of the perturbed generalized nonlinear partial differential equations asymptotically converges to the solution of the original system under the large : Min Wu, Yousheng Wu.

This book presents a unique, modern treatment of solutions to fractional random differential equations in mathematical physics. It follows an analytic approach in applied functional analysis for functional integration in quantum physics and.

So I assume we are looking for the asymptotic expansion around an ordinary point rather then a singular point. My initial approach would be to plug in a power series .Differential Geometry by Balazs Csikos. The aim of this textbook is to give an introduction to differential geometry.

Topics covered includes: Categories and Functors, Linear Algebra, Geometry, Topology, Multivariable Calculus, Ordinary Differential Equations, The Notion of a Curve, The Length of a Curve, Plane Curves, Osculating Spheres, Hypersurfaces in R n, Manifolds, Differentiation of. The aim of this work is to study asymptotic properties of a class of fourth-order delay differential equations.

Our results in this paper not only generalize some previous results, but also improve the earlier ones. Examples are considered to elucidate the main by: