Method of Guiding Functions in Problems of Nonlinear Analysis

  • Valeri Obukhovskii
  • Pietro Zecca
  • Nguyen Van Loi
  • Sergei Kornev

Part of the Lecture Notes in Mathematics book series (LNM, volume 2076)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev
    Pages 1-24
  3. Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev
    Pages 25-67
  4. Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev
    Pages 69-104
  5. Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev
    Pages 105-129
  6. Valeri Obukhovskii, Pietro Zecca, Nguyen Van Loi, Sergei Kornev
    Pages 131-165
  7. Back Matter
    Pages 167-180

About this book

Introduction

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.

Keywords

34C25, 34C23, 47J15, 58E07, 34C15, 34B15, 34A60, 34G25 Guiding function bifurcation control system periodic solution

Authors and affiliations

  • Valeri Obukhovskii
    • 1
  • Pietro Zecca
    • 2
  • Nguyen Van Loi
    • 3
  • Sergei Kornev
    • 4
  1. 1.Department of Physics and MathematicsVoronezh State Pedagogical UniversityVoronezhRussia
  2. 2., Matematica e Informatica "U Dini"Università di FirenzeFirenzeItaly
  3. 3.Faculty of Fundamental SciencePetroVietNam UniversityBa RiaVietnam
  4. 4.Department of Physics and MathematicsVoronezh State Pedagogical UniversityVoronezhRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-37070-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-37069-4
  • Online ISBN 978-3-642-37070-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book
Industry Sectors
Pharma
Automotive
Consumer Packaged Goods
Aerospace
Oil, Gas & Geosciences