Method of Guiding Functions in Problems of Nonlinear Analysis

2013
ISBN: 978-3-642-37069-4
Verlag: Springer

Buch, Englisch, Band 2076, 177 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 3051 g

Reihe: Lecture Notes in Mathematics

This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for “pure” mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics.

Zielgruppe

Research

Autoren/Hrsg.

Obukhovskii, Valeri

Kornev, Sergei

Zecca, Pietro

Loi, Nguyen van

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

1 Background.- 2 MGF in Finite-Dimensional Spaces.- 3 Guiding Functions in Hilbert Spaces.- 4 Second-Order Differential Inclusions.- 5 Nonlinear Fredholm Inclusions.