Nonlinear Functional Analysis and Applications
| Autor: | Jesús Garcia-Falset, Khalid Latrach |
|---|---|
| EAN: | 9783111032085 |
| eBook Format: | ePUB |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 06.03.2023 |
| Kategorie: | |
| Schlagworte: | Banach spaces Metrische Fixpunkttheorie Nichtlineare Funktionsanalyse Nonlinear functional analysis Topologische Fixpunkttheorie fixed point theory nichtlineare Evolutionsgleichungen nichtlineare Randwertprobleme partial differential equation |
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Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc. This work is devoted, in a self-contained way, to several subjects of this topic such as theory of accretive operators in Banach spaces, theory of abstract Cauchy problem, metric and topological fixed point theory. Special emphasis is given to the study how these theories can be used to obtain existence and uniqueness of solutions for several types of evolution and stationary equations. In particular, equations arising in dynamical population and neutron transport equations are discussed.
Jesús Garcia-Falset, University of Valencia, ES; Khalid Latrach, Université Clermont Auvergne, FR.
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