Asymptotics of Nonlinearities and Operator Equations

  • Alexander M. Krasnosel’skii

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

  • Alexander M. Krasnosel’skii
    • 1
  1. 1.Institute for Information Transmission ProblemsRussian Academy of SciencesMoscowRussia

Bibliographic information