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  • © 1999

Introduction to the Theory and Applications of Functional Differential Equations

Part of the book series: Mathematics and Its Applications (MAIA, volume 463)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-5
  2. Modelling by Functional Differential Equations

    1. Front Matter

      Pages 7-9
    2. Theoretical Preliminaries

      • V. Kolmanovskii, A. Myshkis
      Pages 11-22
    3. Models

      • V. Kolmanovskii, A. Myshkis
      Pages 23-84
  3. Theoretical Background of Functional Differential Equations

    1. Front Matter

      Pages 85-85
    2. General Theory

      • V. Kolmanovskii, A. Myshkis
      Pages 87-195
  4. Stability

    1. Front Matter

      Pages 197-197
    2. Stability of Retarded Differential Equations

      • V. Kolmanovskii, A. Myshkis
      Pages 199-262
    3. Stability of RDEs with Autonomous Linear Part

      • V. Kolmanovskii, A. Myshkis
      Pages 263-278
    4. Liapunov Functionals for Concrete FDEs

      • V. Kolmanovskii, A. Myshkis
      Pages 279-306
    5. Stability of Neutral Type Functional Differential Equations

      • V. Kolmanovskii, A. Myshkis
      Pages 329-358
    6. Applications of the Direct Liapunov Method

      • V. Kolmanovskii, A. Myshkis
      Pages 359-386
    7. Stability of Stochastic Functional Differential Equations

      • V. Kolmanovskii, A. Myshkis
      Pages 387-437
  5. Boundary Value Problems and Periodic Solutions of Functional Differential Equations

    1. Front Matter

      Pages 439-441
    2. Boundary Value Problems for Functional Differential Equations

      • V. Kolmanovskii, A. Myshkis
      Pages 443-457
    3. Fredholm Alternative for Periodic Solutions of Linear FDEs

      • V. Kolmanovskii, A. Myshkis
      Pages 459-488
    4. Generalized Periodic Solutions of SFDEs

      • V. Kolmanovskii, A. Myshkis
      Pages 489-519
  6. Control and Estimation in Hereditary Systems

    1. Front Matter

      Pages 521-521
    2. Problems of Control for Deterministic FDEs

      • V. Kolmanovskii, A. Myshkis
      Pages 523-555

Authors and Affiliations

  • Moscow State University of Electronics and Mathematics and Space Research Institute (IKI) of the Russian Academy of Sciences, Moscow, Russia

    V. Kolmanovskii

  • Moscow State University of Communications (MIIT), Moscow, Russia

    A. Myshkis

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access