The Qualitative Theory of Ordinary Differential Equations
An Introduction
eBook Features

Read Anywhere
Read your book anywhere, on any device, through RedShelf's cloud based eReader.

Digital Notes and Study Tools
Builtin study tools include highlights, study guides, annotations, definitions, flashcards, and collaboration.

TexttoSpeech Compatible
Have the book read to you!

Offline Access
(
20% )
The publisher of this book allows a portion of the content to be used offline.

Printing
(
20%
)
The publisher of this book allows a portion of the content to be printed.

Copy/Paste
(
20% )
The publisher of this book allows a portion of the content to be copied and pasted into external tools and documents.
Additional Book Details
"This is a very good book ... with many wellchosen examples and illustrations." — American Mathematical MonthlyThis highly regarded text presents a selfcontained 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. In addition, algebraic results are stated as needed; the less familiar ones are proved either in the text or in appendixes.The topics covered in the first three chapters are the standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. The next three chapters, the heart of the book, deal with stability theory and some applications, such as oscillation phenomena, selfexcited oscillations and the regulator problem of Lurie.One of the special features of this work is its abundance of exercisesroutine computations, completions of mathematical arguments, extensions of theorems and applications to physical problems. Moreover, they are found in the body of the text where they naturally occur, offering students substantial aid in understanding the ideas and concepts discussed. The level is intended for students ranging from juniors to firstyear graduate students in mathematics, physics or engineering; however, the book is also ideal for a onesemester undergraduate course in ordinary differential equations, or for engineers in need of a course in state space methods.
Sold By  Dover Publications 

ISBNs  9780486151519, 9780486658469, 0486151514, 9780486151519 
Language  eng 
Number of Pages  320 