Theory of degrees, with applications to bifurcations and differential equations
著者
書誌事項
Theory of degrees, with applications to bifurcations and differential equations
（Canadian Mathematical Society series of monographs and advanced texts）
John Wiley, c1997
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注記
"A Wiley-Interscience publication."
Bibliography: p. 357-367
Includes index
内容説明・目次
内容説明
This book provides an introduction to degree theory and its applications to nonlinear differential equations. It uses an applications-oriented 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.
目次
Elements of Differential Topology. Degree in Finite--Dimensional Spaces. Leray--Schauder Degree for Compact Fields. Nussbaum--Sadovskii Degree for Condensing Fields. Applications to Bifurcation Theory. S 1 --Equivariant Degree. Global Hopf Bifurcation Theory. Equivariant Degree of Dold--Ulrich. References. Index.
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