Ordinary Differential Equations: Qualitative Theory

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Mathematics - Differential Equations
Ordinary Differential Equations:...

Ordinary Differential Equations: Qualitative Theory

Name: Ordinary Differential Equations: Qualitative Theory
ISBN: 9780821887493

Luis Barreira, Claudia Valls

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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.

Kategorie:

Mathematics - Differential Equations

Rok:

2012

Wydawnictwo:

American Mathematical Society

Język:

english

Strony:

265

ISBN 10:

0821887491