Method of Guiding Functions in Problems of Nonlinear Analysis

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Game Theory
Cover of the book Method of Guiding Functions in Problems of Nonlinear Analysis by Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev, Springer Berlin Heidelberg
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Author: Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev ISBN: 9783642370700
Publisher: Springer Berlin Heidelberg Publication: May 13, 2013
Imprint: Springer Language: English
Author: Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev
ISBN: 9783642370700
Publisher: Springer Berlin Heidelberg
Publication: May 13, 2013
Imprint: Springer
Language: English

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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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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