6 edition of **The qualitative theory of ordinary differential equations** found in the catalog.

The qualitative theory of ordinary differential equations

Fred Brauer

- 377 Want to read
- 22 Currently reading

Published
**1989**
by Dover
.

Written in English

- Differential equations.

**Edition Notes**

Statement | Fred Brauer and John A. Nohel. |

Contributions | Nohel, John A. |

Classifications | |
---|---|

LC Classifications | QA372 |

The Physical Object | |

Pagination | vi,314p. |

Number of Pages | 314 |

ID Numbers | |

Open Library | OL21480234M |

ISBN 10 | 0486658465 |

The editors hope that this collection of papers will attract interest of researchers working in related areas and will stimulate further progress in the qualitative theory of differential equations, difference equations, and dynamic equations on time : Tongxing Li, Martin Bohner, Tuncay Candan, Yuriy V. Rogovchenko, Qi-Ru Wang. Ordinary Differential Equations Qualitative Theory Graduate Studies in Mathematics Volume Ordinary Differential to the qualitative theory of ordinary diﬀerential equations. In particular, Being self-contained, the book can also serve as a reference or forFile Size: KB.

qualitative theory of differential equations Download qualitative theory of differential equations or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get qualitative theory of differential equations book now. This site is like a library, Use search box in the widget to get ebook that you want. DIFFERENTIAL EQUATIONS Alexander Panﬁlov center saddle node stable non-stable node stable spiral non-stable spiral tr A det A 5 1 3 4 2 6 D=0 arXivv1 [] 10 Mar 2. QUALITATIVE ANALYSIS OF DIFFERENTIAL EQUATIONS Alexander Panﬁlov Theoretical Biology, Utrecht University, Utrecht c 2. Contents.

Ordinary Differential Equations An ordinary differential equation (or ODE) is an equation involving derivatives of an unknown quantity with respect to a single variable. More precisely, suppose j;n2 N, Eis a Euclidean space, and FW dom.F/ R nC 1copies ‚ „ ƒ E E! Rj: () Then an nth order ordinary differential equation is an equation File Size: KB. The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in the current textbook literature. The following topics are particularly emphasised: • existence, uniqueness and continuation of solutions.

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This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear by: The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books on Mathematics) - Kindle edition by Brauer, Fred, Nohel, John A.

Download it once and read it on your Kindle device, PC, phones or tablets/5(6). The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in the current textbook literature.

The following topics are particularly emphasised: • existence, uniqueness and continuation of solutions,Cited by: 6. This textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations.

It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in the by: 8. The Qualitative Theory of Ordinary Differential Equations: An Introduction.

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters/5(9). This book provides an introduction to and a comprehensive study of the qualitative theory of ordinary differential equations.

It begins with fundamental theorems on existence, uniqueness, and initial conditions, and discusses basic principles in dynamical systems and Poincaré-Bendixson by: This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students.

The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the by: This textbook provides a comprehensive introduction to the qualitative theory of ordinary differential equations.

It includes a discussion of the existence and uniqueness of solutions, phase portraits, linear equations, stability theory, hyperbolicity and equations in the plane.

The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: • existence.

This highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of the elements of linear algebra.

Find helpful customer reviews and review ratings for The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books on Mathematics) at Read honest and unbiased product reviews from our users/5.

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of nonlinear equations.

Requiring only a background in. "This textbook, written by well-known scientists in the field of the qualitative theory of ordinary differential equations, presents a comprehensive introduction to fundamental and essential topics of real planar differential autonomous systems.

The emphasis is mainly qualitative, although attention is also given to more algebraic aspects. Ordinary Differential Equations: Qualitative Theory About this Title. Luis Barreira, Instituto Superior Técnico, Lisbon, Portugal and Claudia Valls, Instituto Superior Técnico, Lisbon, ated by Luis Barreira, Instituto Superior Técnico, Lisbon, Portugal and Claudia Valls, Instituto Superior Técnico, Lisbon, Portugal.

Publication: Graduate Studies in MathematicsCited by: 8. "This is a very good book with many well-chosen examples and illustrations." &#; American Mathematical MonthlyThis highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations.

It is Author: Fred Brauer. The Qualitative Theory of Ordinary Differential Equations: An Introduction (Dover Books on Mathematics) From: glenthebookseller (Montgomery, IL, U.S.A.). From the book reviews: “This book is devoted to the study of piecewise linear differential systems (PWLSs), from the point of view of the qualitative theory of differential equations.

this book could serve well both as a textbook for a course in piecewise linear differential equations and as a reference in which important tools of current research are thoroughly explained and their use. For over years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines.

This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most.

Providing an introduction to the qualitative theory of ordinary differential equations, this text also shows how the theory may be applied to dynamical systems not only in mechanics and electricity but also in ecology, economics and many other spheres/5(2).

"This is a very good book with many well-chosen examples and illustrations." — American Mathematical MonthlyThis highly regarded text presents a self-contained introduction to some important aspects of modern qualitative theory for ordinary differential equations. It is accessible to any student of physical sciences, mathematics or engineering who has a good knowledge of calculus and of.

Destination page number Search scope Search Text Search scope Search Text.the study of rst order autonomous ODEs. Qualitative Theory helps one to understand the local and global behaviour of an ODE without actually having to nd explicit solutions to them; thus the subject is of great importance as many ODEs have no explicit solutions.

Example Take X= R, _x= xhas solution x(t) = x 0et, with x(0) = x 0. Looking.The Qualitative Theory of Ordinary Differential Equations: An Introduction: Fred Brauer, John A. Nohel: Books - or: Fred Brauer, John A.

Nohel.