Methods of Nonlinear Analysis [electronic resource] :Applications to Differential Equations / by Pavel Drábek, Jaroslav Milota.
by Drábek, Pavel [author.]; Milota, Jaroslav [author.]; SpringerLink (Online service).
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BookSeries: Birkhäuser Advanced Texts / Basler Lehrbücher: Publisher: Basel : Birkhäuser Basel, 2007.Description: XII, 568 p. online resource.ISBN: 9783764381479.Subject(s): Mathematics | Global analysis (Mathematics) | Functional analysis | Differential equations, partial | Mathematical optimization | Mathematics | Analysis | Functional Analysis | Partial Differential Equations | Calculus of Variations and Optimal Control; OptimizationDDC classification: 515 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA299.6-433 (Browse shelf) | Available |
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| QA329-329.9 Operator Theory, Analysis and Mathematical Physics | QA329-329.9 System Theory, the Schur Algorithm and Multidimensional Analysis | QA404.7-405 The Maximum Principle | QA299.6-433 Methods of Nonlinear Analysis | RC927-927.5 New Therapeutic Targets in Rheumatoid Arthritis | QA329-329.9 Spectral Theory of Linear Operators | QA329-329.9 Factorization of Matrix and Operator Functions: The State Space Method |
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.
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