Theorems of Leray-Schauder Type And Applications

1. Auflage 2001
ISBN: 978-90-5699-295-8
Verlag: Gordon and Breach

Buch, Englisch, 216 Seiten, Format (B × H): 177 mm x 254 mm, Gewicht: 617 g

Reihe: Mathematical Analysis and Applications

This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis. In particular, fixed point theory is established for many classes of maps, such as contractive, non-expansive, accretive, and compact maps, to name but a few. This book also presents coincidence and multiplicity results. Many applications of current interest in the theory of nonlinear differential equations are presented to complement the theory. The text is essentially self-contained, so it may also be used as an introduction to topological methods in nonlinear analysis. This volume will appeal to graduate students and researchers in mathematical analysis and its applications.

Zielgruppe

Professional Practice & Development

Autoren/Hrsg.

Precup, Radu

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

Overview. Theorems of Leray-Schauder Type for Contractions. Continuation Theorems for Nonexpansive Maps. Theorems of Leray-Schauder Type for Accretive Maps. Continuation Theorems Involving Compactness. Applications to Semilinear Elliptic Problems. Theorems of Leray-Schauder Type for Coincidences. Theorems of Selective Continuation. The Unified Theory. Multiplicity. Local Continuation Theorems.

Über Autor(innen)

Precup, Radu