---

＜電子ブック＞
Methods of Nonlinear Analysis : Applications to Differential Equations / by Pavel Drabek, Jaroslav Milota
(Birkhäuser Advanced Texts Basler Lehrbücher. ISSN:22964894)

版	2nd ed. 2013.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	2013
本文言語	英語
大きさ	X, 649 p : online resource
著者標目	*Drabek, Pavel author Milota, Jaroslav author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Functional analysis LCSH:Differential equations LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Analysis FREE:Functional Analysis FREE:Differential Equations FREE:Calculus of Variations and Optimization
一般注記	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 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.  HTTP:URL=https://doi.org/10.1007/978-3-0348-0387-8

 類似資料