Asymptotic Behavior and Stability Problems in Ordinary Differential Equations

Asymptotic Behavior and Stability Problems in Ordinary Differential Equations
Author :
Publisher : Springer
Total Pages : 278
Release :
ISBN-10 : 9783662403686
ISBN-13 : 3662403684
Rating : 4/5 (684 Downloads)

Book Synopsis Asymptotic Behavior and Stability Problems in Ordinary Differential Equations by : Lamberto Cesari

Download or read book Asymptotic Behavior and Stability Problems in Ordinary Differential Equations written by Lamberto Cesari and published by Springer. This book was released on 2013-11-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.


Asymptotic Behavior and Stability Problems in Ordinary Differential Equations Related Books

Asymptotic Behavior and Stability Problems in Ordinary Differential Equations
Language: en
Pages: 278
Authors: Lamberto Cesari
Categories: Mathematics
Type: BOOK - Published: 2013-11-09 - Publisher: Springer

DOWNLOAD EBOOK

In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and
Asymptotic Behavior and Stability Problems in Ordinary Differential Equations
Language: en
Pages: 278
Authors: Lamberto Cesari
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer

DOWNLOAD EBOOK

In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and
Ordinary Differential Equations
Language: en
Pages: 391
Authors: Wolfgang Walter
Categories: Mathematics
Type: BOOK - Published: 2013-03-11 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Based on a translation of the 6th edition of Gewöhnliche Differentialgleichungen by Wolfgang Walter, this edition includes additional treatments of important s
Stability Theory of Differential Equations
Language: en
Pages: 178
Authors: Richard Bellman
Categories: Mathematics
Type: BOOK - Published: 2013-02-20 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and a
The Qualitative Theory of Ordinary Differential Equations
Language: en
Pages: 325
Authors: Fred Brauer
Categories: Mathematics
Type: BOOK - Published: 2012-12-11 - Publisher: Courier Corporation

DOWNLOAD EBOOK

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on paramete