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＜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	1st ed. 2007.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2007
本文言語	英語
大きさ	XII, 568 p. 78 illus : 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	Preliminaries -- Properties of Linear and Nonlinear Operators -- Abstract Integral and Differential Calculus -- Local Properties of Differentiable Mappings -- Topological and Monotonicity Methods -- Variational Methods -- Boundary Value Problems for Partial Differential Equations In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. It thus serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists HTTP:URL=https://doi.org/10.1007/978-3-7643-8147-9

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