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Introduction to the Theory and Applications of Functional Differential Equations

  • Book
  • © 1999

Overview

Authors:
  1. V. Kolmanovskii

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

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  2. A. Myshkis

    1. Moscow State University of Communications (MIIT), Moscow, Russia

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    You can also search for this author in PubMed   Google Scholar

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
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  2. Modelling by Functional Differential Equations

    1. Front Matter

      Pages 7-9
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    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
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    2. General Theory

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

  4. Stability

    1. Front Matter

      Pages 197-197
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    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. Riccati Type Stability Conditions of Some Linear Systems with Delay

      • V. Kolmanovskii, A. Myshkis
      Pages 307-327

    6. Stability of Neutral Type Functional Differential Equations

      • V. Kolmanovskii, A. Myshkis
      Pages 329-358

    7. Applications of the Direct Liapunov Method

      • V. Kolmanovskii, A. Myshkis
      Pages 359-386

    8. 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
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    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
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    2. Problems of Control for Deterministic FDEs

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

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

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