Method of Guiding Functions in Problems of Nonlinear Analysis

Author:   Valeri Obukhovskii ,  Pietro Zecca ,  Nguyen Van Loi ,  Sergei Kornev
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2013 ed.
Volume:   2076
ISBN:  

9783642370694


Pages:   177
Publication Date:   29 May 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Method of Guiding Functions in Problems of Nonlinear Analysis


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Overview

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.

Full Product Details

Author:   Valeri Obukhovskii ,  Pietro Zecca ,  Nguyen Van Loi ,  Sergei Kornev
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2013 ed.
Volume:   2076
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   3.051kg
ISBN:  

9783642370694


ISBN 10:   3642370691
Pages:   177
Publication Date:   29 May 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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

Reviews

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)


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 Carja, zbMATH, Vol. 1282, 2014)


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 Carja, zbMATH, Vol. 1282, 2014)


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 Carja, zbMATH, Vol. 1282, 2014)


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