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The Qualitative Theory of Ordinary Differential Equations

2012-12-11 Mathematics
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Release : 2012-12-11
Genre : Mathematics
Kind : eBook
Book Rating : 514/5 ( reviews)

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Book Synopsis The Qualitative Theory of Ordinary Differential Equations by : Fred Brauer

Download or read book The Qualitative Theory of Ordinary Differential Equations written by Fred Brauer. This book was released on 2012-12-11. Available in PDF, EPUB and Kindle. Book excerpt: Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.

The Qualitative Theory of Ordinary Differential Equations

1989-01-01 Mathematics
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Release : 1989-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 469/5 ( reviews)

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Book Synopsis The Qualitative Theory of Ordinary Differential Equations by : Fred Brauer

Download or read book The Qualitative Theory of Ordinary Differential Equations written by Fred Brauer. This book was released on 1989-01-01. Available in PDF, EPUB and Kindle. Book excerpt: "This is a very good book ... with many well-chosen examples and illustrations." — American Mathematical Monthly 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.

Ordinary Differential Equations

2023-05-17 Mathematics
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Release : 2023-05-17
Genre : Mathematics
Kind : eBook
Book Rating : 860/5 ( reviews)

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Book Synopsis Ordinary Differential Equations by : Luis Barreira

Download or read book Ordinary Differential Equations written by Luis Barreira. This book was released on 2023-05-17. Available in PDF, EPUB and Kindle. Book excerpt: 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 emphasis is primarily on results and methods that allow one to analyze qualitative properties of the solutions without solving the equations explicitly. The text includes numerous examples that illustrate in detail the new concepts and results as well as exercises at the end of each chapter. The book is also intended to serve as a bridge to important topics that are often left out of a course on ordinary differential equations. In particular, it provides brief introductions to bifurcation theory, center manifolds, normal forms and Hamiltonian systems.

Qualitative Theory of Differential Equations

2015-12-08 Mathematics
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Release : 2015-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 951/5 ( reviews)

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Book Synopsis Qualitative Theory of Differential Equations by : Viktor Vladimirovich Nemytskii

Download or read book Qualitative Theory of Differential Equations written by Viktor Vladimirovich Nemytskii. This book was released on 2015-12-08. Available in PDF, EPUB and Kindle. Book excerpt: Book 22 in the Princeton Mathematical Series. Originally published in 1960. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

A First Course in the Qualitative Theory of Differential Equations

2003 Differential equations, Nonlinear
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Release : 2003
Genre : Differential equations, Nonlinear
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Book Rating : /5 ( reviews)

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Book Synopsis A First Course in the Qualitative Theory of Differential Equations by : James Hetao Liu

Download or read book A First Course in the Qualitative Theory of Differential Equations written by James Hetao Liu. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete analysis of those subjects that are of fundamental importance to the qualitative theory of differential equations and related to current research-including details that other books in the field tend to overlook. Chapters 1-7 cover the basic qualitative properties concerning existence and uniqueness, structures of solutions, phase portraits, stability, bifurcation and chaos. Chapters 8-12 cover stability, dynamical systems, and bounded and periodic solutions. A good reference book for teachers, researchers, and other professionals.

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