# 0248345

Topics in Nonlinear Functional Analysis


Συγγραφέας: Nirenberg Louis
Εκδότης: American Mathematical Society
ISBN: 9780821828199
Σειρά βιβλίου: Courant Lecture Notes No. 6
Αριθμός Σελίδων: 160
Διαστάσεις: 23x1x18
Γλώσσα Γραφής: english
Ημερομηνία 1ης Έκδοσης: 2001
Έτος Έκδοσης: 2001

Σύνοψη του βιβλίου "Topics in Nonlinear Functional Analysis"

Since its first appearance as a set of lecture notes published by the Courant Institute in 1974, this book served as an introduction to various subjects in nonlinear functional analysis. The current edition is a reprint of these notes, with added bibliographic references. Topological and analytic methods are developed for treating nonlinear ordinary and partial differential equations. The first two chapters of the book introduce the notion of topological degree and develop its basic properties. These properties are used in later chapters in the discussion of bifurcation theory (the possible branching of solutions as parameters vary), including the proof of Rabinowitz's global bifurcation theorem. Stability of the branches is also studied.The book concludes with a presentation of some generalized implicit function theorems of Nash-Moser type with applications to Kolmogorov-Arnold-Moser theory and to conjugacy problems. After more than 20 years, this book continues to be an excellent graduate level textbook and a useful supplementary course text.


Συγγραφέας/εις: Nirenberg Louis
Κατηγορία: επιστημονικά
Σειρά βιβλίου: Courant Lecture Notes No. 6
ISBN: 9780821828199
Ημερ/νία έκδοσης: 15/04/2001
Εξώφυλλο: Paperback
Σελίδες: 160
Γλώσσα βιβλίου: english
Τόπος έκδοσης: Providence
Χώρα έκδοσης: United States
Βάρος βιβλίου: 312 gr
Διαστάσεις βιβλίου: 23x1x18 cm
Λεπτομέρειες εικονογράφησης: bibliography
Ημερομηνία πρώτης έκδοσης: 2001

Περιεχόμενα

Topological approach: Finite dimensions Topological degree in Banach space Bifurcation theory Further topological methods Monotone operators and the min-max theorem Generalized implicit function theorems Bibliography.

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