Ordinary Differential Equations: Qualitative Theory (Graduate Studies in Mathematics, 137) - Hardcover

Luis Barreira; Claudia Valls

Hardcover

ISBN 10: 0821887491 ISBN 13: 9780821887493

Publisher: American Mathematical Society, 2012

Synopsis

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.

About this edition

• Publisher: American Mathematical Society
• Publication date: 2012
• ISBN 10: 0821887491
• ISBN 13: 9780821887493
• Binding: Hardcover
• Number of pages: 248