Includes bibliographical references (p. 359-362) and index.
|Statement||by R.P. Kuzmina.|
|Series||Mathematics and its applications -- v. 512, Mathematics and its applications (Kluwer Academic Publishers) -- v. 512.|
|LC Classifications||QA372 .K985 2000|
|The Physical Object|
|Pagination||x, 364 p. :|
|Number of Pages||364|
|LC Control Number||00033078|
In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involving the small parameter in the system. In Part 1 we study the quasiregular Cauchy problem. Th at is, a problem. The solution of ordinary diﬀerential equations by asymptotic methods often pro- ceeds in a similar way to the solution of algebraic equations, which we discussed intheprevioussection. Get this from a library! Asymptotic methods for ordinary differential equations. [R P Kuzʹmina] -- "This book considers the Cauchy problem for a system of ordinary differential equations with a small parameter, filling in areas that have not been extensively covered in the existing literature. The. 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.
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 construction of integral solutions and the use. text, we consider numerical methods for solving ordinary differential equations, that is, those differential equations that have only one independent variable. The differential equations we consider in most of the book are of the form Y′(t) = f(t,Y(t)), where Y(t) is an unknown File Size: 1MB. Basically all main results and methods are given. Almost every known asymptotic formula is referred to. Written in a style readable for the nonspecialist in the area, the book is a guide to the extensive This encyclopaedic book describes the developments of the last years in the area of asymptotic methods for linear ODEs and systems in the real Format: Hardcover. "A book of great value it should have a profound influence upon future research."--Mathematical Reviews. 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 this century that it became apparent how essential asymptotic series are to understanding.
Lecture Notes in Asymptotic Methods Raz Kupferman Institute of Mathematics The Hebrew University J 2. Contents 1 Ordinary diﬀerential equations 3 Ordinary diﬀerential equations Introduction A diﬀerential equation is a functional relation between a function and its deriva-File Size: KB. The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7, ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Ordinary differential equations an elementary text book with an introduction to Lie's theory of the group of one parameter. This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. "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.