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Item Details
Title: ORDINARY DIFFERENTIAL EQUATIONS
QUALITATIVE THEORY
By: Luis Barreira, Claudia Valls
Format: Hardback

List price: £62.00


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ISBN 10: 0821887491
ISBN 13: 9780821887493
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 June, 2012
Series: Graduate Studies in Mathematics No. 137
Pages: 248
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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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DYNAMICAL SYSTEMS BY EXAMPLE (HB)
ERGODIC THEORY, HYPERBOLIC DYNAMICS AND DIMENSION THEORY (PB)
EXERCISES IN LINEAR ALGEBRA (HB)
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LYAPUNOV EXPONENTS
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STABILITY OF NONAUTONOMOUS DIFFERENTIAL EQUATIONS (PB)
SYNONYMIZED CHECKLIST OF THE VASCULAR FLORA OF THE UNITED STATES, CANADA, AND GREENLAND (PB)
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