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About this book :-
The Qualitative Theory of Ordinary Differential Equations written by
Fred Brauer, John Nohel .
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. 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, self-excited oscillations and the regulator problem of Lurie.
One of the special features of this work is its abundance of exercises-routine 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 first-year graduate students in mathematics, physics or engineering; however, the book is also ideal for a one-semester undergraduate course in ordinary differential equations, or for engineers in need of a course in state space methods.
Book Detail :-
Title: The Qualitative Theory of Ordinary Differential Equations: An Introduction
Edition:
Author(s): Fred Brauer, John A. Nohel
Publisher: Dover Publications
Series:
Year: 1989
Pages: 319
Type: PDF
Language: English
ISBN: 048665846
Country:
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Book Contents :-
The Qualitative Theory of Ordinary Differential Equations written by
Fred Brauer, John Nohel
cover the following topics.
1. System of Differential Equations
2. Linear Systems, with an Introduction to Phase Space Analysis
3. Existence Theory
4. Stability of Linear and Almost Linear Systems
5. Lyapunov's Second Method
6. Some Applications
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