Umfang:
Online-Ressource (X, 649 p. 1 illus. in color, digital)
Ausgabe:
2nd ed. 2013
ISBN:
9783034803878
Serie:
Birkhäuser Advanced Texts Basler Lehrbücher
Inhalt:
Preface -- 1 Preliminaries -- 2 Properties of Linear and Nonlinear Operators -- 3 Abstract Integral and Differential Calculus -- 4 Local Properties of Differentiable Mappings -- 5 Topological and Monotonicity Methods -- 6 Variational Methods -- 7 Boundary Value Problems for Partial Differential Equations -- Summary of Methods -- Typical Applications -- Comparison of Bifurcation Results -- List of Symbols -- Index -- Bibliography.
Inhalt:
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists. .
Anmerkung:
Description based upon print version of record
,
Preface -- 1 Preliminaries -- 2 Properties of Linear and Nonlinear Operators -- 3 Abstract Integral and Differential Calculus -- 4 Local Properties of Differentiable Mappings -- 5 Topological and Monotonicity Methods -- 6 Variational Methods -- 7 Boundary Value Problems for Partial Differential Equations -- Summary of Methods -- Typical Applications -- Comparison of Bifurcation Results -- List of Symbols -- Index -- Bibliography.
Weitere Ausg.:
ISBN 9783034803861
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Drábek, Pavel, 1953 - Methods of nonlinear analysis Basel : Birkhäuser, 2013 ISBN 9783034803861
Weitere Ausg.:
ISBN 9783034803861
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Nichtlineare Analysis
;
Differentialgleichung
DOI:
10.1007/978-3-0348-0387-8
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Mehr zum Autor:
Drábek, Pavel 1953-
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