Lecture Notes in Mathematics

Method of Guiding Functions in Problems of Nonlinear Analysis

Authors: Obukhovskii, V., Zecca, P., Van Loi, N., Kornev, S.

  • May serve as the convenient introduction into intensively developing and interesting branches of contemporary nonlinear analysis, theory of differential equations and inclusions and control theory
  • The presentation is self-contained and directed to a non-specialist Contains interesting applications of the theory in control theory, theory of bifurcations and physics
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About this book

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

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 Cârjă, zbMATH, Vol. 1282, 2014)


Table of contents (5 chapters)

  • Background

    Obukhovskii, Valeri (et al.)

    Pages 1-24

  • Method of Guiding Functions in Finite-Dimensional Spaces

    Obukhovskii, Valeri (et al.)

    Pages 25-67

  • Method of Guiding Functions in Hilbert Spaces

    Obukhovskii, Valeri (et al.)

    Pages 69-104

  • Second-Order Differential Inclusions

    Obukhovskii, Valeri (et al.)

    Pages 105-129

  • Nonlinear Fredholm Inclusions and Applications

    Obukhovskii, Valeri (et al.)

    Pages 131-165

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-3-642-37070-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-3-642-37069-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Method of Guiding Functions in Problems of Nonlinear Analysis
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
2076
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-37070-0
DOI
10.1007/978-3-642-37070-0
Softcover ISBN
978-3-642-37069-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIII, 177
Topics