ENGLISH

Method of Guiding Functions in Problems of Nonlinear Analysis

By Pietro Zecca , Valeri Obukhovskii , Nguyen Van Loi , Sergei Kornev (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2013
ISBN
978-3-642-37069-4, 978-3-642-37070-0
DOI
10.1007/978-3-642-37070-0
Language
english
Format
PDF
Filesize
1 MB (1312198 bytes)
Series
Lecture Notes in Mathematics 2076
Edition
1
Pages
177\189
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
ControlEconomicsgeneral; Operator Theory; Game TheoryMathematicsSocial and Behav. Sciences; Systems Theory

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.

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