Method of Guiding Functions in Problems of Nonlinear Analysis
Published on 13. May 2013
XIII, 177 pages
978-3-642-37070-0 (ISBN)
Description
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.
Reviews / Votes
From the reviews:
"The central topic of this volume is the theory of guiding functions methods . . The book also collects all the related results achieved by the authors in their papers in the last 10 years. . a high-quality piece of work on the advanced theory of multimaps, and it can be quite useful and readable for graduate students and researchers in this field." (Arsen Palestini, Mathematical Reviews, February, 2014)
"The monograph under review concerns the method of guiding functions (MGF) for solving problems of periodic oscillations in nonlinear systems. . The book is recommended for advanced graduate courses on nonlinear analysis." (Ovidiu Cârja, zbMATH, Vol. 1282, 2014)
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XIII, 177 p.
File size
1,46 MB
ISBN-13
978-3-642-37070-0 (9783642370700)
DOI
10.1007/978-3-642-37070-0
Schweitzer Classification
Other editions
Additional editions
Valeri Obukhovskii | Pietro Zecca | Nguyen Van Loi
Method of Guiding Functions in Problems of Nonlinear Analysis
Book
05/2013
Springer
€37.44
Shipment within 7-9 days
Content
1 Background.- 2 MGF in Finite-Dimensional Spaces.- 3 Guiding Functions in Hilbert Spaces.- 4 Second-Order Differential Inclusions.- 5 Nonlinear Fredholm Inclusions.
