Asymptotic methods for ordinary differential equations
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Asymptotic methods for ordinary differential equations by R. P. KuzК№mina

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Published by Kluwer Academic Publishers in Dordrecht, Boston .
Written in English


  • Differential equations -- Asymptotic theory.

Book details:

Edition Notes

Includes bibliographical references (p. 359-362) and index.

Statementby R.P. Kuzmina.
SeriesMathematics and its applications -- v. 512, Mathematics and its applications (Kluwer Academic Publishers) -- v. 512.
LC ClassificationsQA372 .K985 2000
The Physical Object
Paginationx, 364 p. :
Number of Pages364
ID Numbers
Open LibraryOL20001397M
ISBN 100792364007
LC Control Number00033078

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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.

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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.