Theory of degrees, with applications to bifurcations and differential equations / Wieslaw Krawcewicz, Jianhong Wu.

Format:

Book

Author/Creator:

Krawcewicz, Wiesław.

Contributor:

Wu, Jianhong, 1964-

Series:

Canadian Mathematical Society series of monographs and advanced texts

Language:

English

Subjects (All):

Topological degree.

Bifurcation theory.

Differential equations.

Physical Description:

xiv, 374 pages : illustrations ; 24 cm.

Place of Publication:

New York : John Wiley, [1997]

Summary:

This book provides an introduction to degree theory and its applications to nonlinear differential equations. It uses an applications-oriented approach to address functional analysis, general topology and differential equations and offers a unified treatment of the classical Brouwer degree, the recently developed S 1-degree and the Dold-Ulrich degree for equivalent mappings and bifurcation problems. It integrates two seemingly disparate concepts, beginning with review material before shifting to classical theory and advanced application techniques.

Provides a detailed illustration of the power of the global bifurcation theorem in establishing large-amplitude periodic solutions.-- Uses figures and tables to illustrate the geometric meaning of complicated analysis.

Notes:

"A Wiley-Interscience publication."

Includes bibliographical references (pages 357-367) and index.

ISBN:

0471157406

OCLC:

35172649