Lecture Notes in Mathematics

Obukhovskii, Valeri; Zecca, Pietro; Van Loi, Nguyen; Kornev, Sergei

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.

Details

Published by: Springer

Publication Date: 2013-05-29

Format: Paperback

ISBN-13: 9783642370694

DOI: 10.1007/978-3-642-37070-0

Dimensions: 235cm x155cm

Pages: 177