Theory of Degrees with Applications to Bifurcations and Differential Equations Volume 17
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More About This Title Theory of Degrees with Applications to Bifurcations and Differential Equations Volume 17
English
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.
English
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.
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.
English
The book is clearly written and can be recommended to graduate students interested in differential equations.(European Mathematical Society Newlsetter, Issue 35, March 2000)
