ENGLISHPORTUGUESE

Ordinary Differential Equations: Qualitative Theory

By Luis Barreira , Claudia Valls

Book information

Publisher
American Mathematical Society
Year
2012
ISBN
0821887491, 978-0-8218-8749-3
Language
englishportuguese
Format
PDF
Filesize
1 MB (1290929 bytes)
Series
AMS Graduate studies in mathematics 137
Pages
248\266
Library
kolxoz
Time added
2017-10-15 16:00:00
Differential equations -- Qualitative theory;Équa

Description

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

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