Introduction to the Theory and Applications of Functional Differential Equations / Edition 1

Introduction to the Theory and Applications of Functional Differential Equations / Edition 1

by V. Kolmanovskii, A. Myshkis
     
 

ISBN-10: 0792355040

ISBN-13: 9780792355045

Pub. Date: 01/31/1999

Publisher: Springer Netherlands

This book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stochastic cases. Among the subjects treated are qualitative theory, stability, periodic solutions, optimal control and estimation, the theory of linear equations, and basic principles of mathematical modelling. The work,…  See more details below

Overview

This book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stochastic cases. Among the subjects treated are qualitative theory, stability, periodic solutions, optimal control and estimation, the theory of linear equations, and basic principles of mathematical modelling. The work, which treats many concrete problems in detail, gives a good overview of the entire field and will serve as a stimulating guide to further research.

Product Details

ISBN-13:
9780792355045
Publisher:
Springer Netherlands
Publication date:
01/31/1999
Series:
Mathematics and Its Applications (closed) Series, #463
Edition description:
1999
Pages:
648
Product dimensions:
9.21(w) x 6.14(h) x 1.50(d)

Table of Contents

Preface
Pt. IModelling by Functional Differential Equations
Ch. 1Theoretical preliminaries
Ch. 2Models
Pt. IITheoretical Background of Functional Differential Equations
Ch. 3General theory
Pt. IIIStability
Ch. 4Stability of retarded differential equations
Ch. 5Stability of RDEs with autonomous linear part
Ch. 6Liapunov functionals for concrete FDEs
Ch. 7Riccati type stability conditions of some linear systems with delay
Ch. 8Stability of neutral type functional differential equations
Ch. 9Applications of the direct Liapunov method
Ch. 10Stability of stochastic functional differential equations
Pt. IVBoundary Value Problems and Periodic Solutions of Differential Equations
Ch. 11Boundary value problems for functional differential equations
Ch. 12Fredholm alternative for periodic solutions of linear FDEs
Ch. 13Generalized periodic solutions of functional differential equations
Pt. VControl and Estimation in Hereditary Systems
Ch. 14Problems of control for deterministic FDEs
Ch. 15Optimal control of stochastic delay systems
Ch. 16State estimates of stochastic systems with delay
Bibliography
Index

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