Obukhovskii / Zecca / Van Loi Method of Guiding Functions in Problems of Nonlinear Analysis

Erscheinungsjahr 2013
ISBN: 978-3-642-37070-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 2076, 177 Seiten, eBook

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

Zecca, Pietro

Van Loi, Nguyen

Kornev, Sergei

Inhaltsverzeichnis

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