© 1995

Asymptotics of Nonlinearities and Operator Equations


Part of the Operator Theory book series (OT, volume 76)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Alexander M. Krasnosel’skii
    Pages 1-42
  3. Alexander M. Krasnosel’skii
    Pages 43-83
  4. Alexander M. Krasnosel’skii
    Pages 85-133
  5. Alexander M. Krasnosel’skii
    Pages 135-184
  6. Alexander M. Krasnosel’skii
    Pages 185-266
  7. Back Matter
    Pages 267-278

About this book


New methods for solving classical problems in the theory of nonlinear operator equations (solvability, multiple solutions, bifurcations, nonlinear resonance, potential methods, etc) are introduced and discussed. The general abstract theorems are illustrated by various applications to differential equations and boundary value problems. In particular, the problem on forced periodic oscillations is considered for equations arising in control theory.


Boundary value problem Eigenvalue derivative differential equation distribution

Authors and affiliations

  1. 1.Institute for Information Transmission ProblemsRussian Academy of SciencesMoscowRussia

Bibliographic information

  • Book Title Asymptotics of Nonlinearities and Operator Equations
  • Authors Alexander Krasnoselskii
  • Series Title Operator Theory
  • DOI
  • Copyright Information Birkhäuser Basel 1995
  • Publisher Name Birkhäuser Basel
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-7643-5175-5
  • Softcover ISBN 978-3-0348-9899-7
  • eBook ISBN 978-3-0348-9082-3
  • Edition Number 1
  • Number of Pages , 278
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Original Russian edition published by Nauka, 1992
  • Topics Analysis
  • Buy this book on publisher's site
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