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Asymptotics of Nonlinearities and Operator Equations

  • Book
  • © 1995

Overview

Authors:
  1. Alexander M. Krasnosel’skii

    1. Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

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Part of the book series: Operator Theory: Advances and Applications (OT, volume 76)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-viii
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  2. Norm estimates for solutions of integral-functional inequalities

    • Alexander M. Krasnosel’skii
    Pages 1-42

  3. Two-sided estimates for nonlinearities

    • Alexander M. Krasnosel’skii
    Pages 43-83

  4. The use of arguments of leading eigenvalues

    • Alexander M. Krasnosel’skii
    Pages 85-133

  5. Weak nonlinearities

    • Alexander M. Krasnosel’skii
    Pages 135-184

  6. One-sided estimates for nonlinearities

    • Alexander M. Krasnosel’skii
    Pages 185-266

  7. Back Matter

    Pages 267-278
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Keywords

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.

Authors and Affiliations

  • Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

    Alexander M. Krasnosel’skii

Bibliographic Information

  • Book Title: Asymptotics of Nonlinearities and Operator Equations

  • Authors: Alexander M. Krasnosel’skii

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-0348-9082-3

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag 1995

  • Hardcover ISBN: 978-3-7643-5175-5Due: 01 March 1995

  • Softcover ISBN: 978-3-0348-9899-7Published: 22 September 2011

  • eBook ISBN: 978-3-0348-9082-3Published: 06 December 2012

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: 278

  • Additional Information: Original Russian edition published by Nauka, 1992

  • Topics: Analysis

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