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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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.
The book is clearly written and can be recommended to graduate students interested in differential equations.(European Mathematical Society Newlsetter, Issue 35, March 2000)
The book is clearly written and can be recommended to graduate students interested in differential equations. (European Mathematical Society Newlsetter, Issue 35, March 2000)
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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