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Synopsis
Part I: Modelling by Functional Differential Equations. 1. Theoretical Preliminaries. 2. Models. Part II: Theoretical Background of Functional Differential Equations. 3. General Theory. Part III: Stability. 4. Stability of Retarded Differential Equations. 5. Stability of RDEs with Autonomous Linear Part. 6. Liapunov Functionals for Concrete FDEs. 7. Riccati Type Stability Conditions of Some Linear Systems with Delay. 8. Stability of Neutral Type Functional Differential Equations. 9. Applications of the Direct Liapunov Method. 10. Stability of Stochastic Functional Differential Equations. Part IV: Boundary Value Problems and Periodic Solutions of Differential Equations. 11. Boundary Value Problems for Functional Differential Equations. 12. Fredholm Alternative for Periodic Solutions of Linear FDEs. 13. Generalized Periodic Solutions of Functional Differential Equations. Part V: Control and Estimation in Hereditary Systems. 14. Problems of Control for Deterministic FDEs. 15. Optimal Control of Stochastic Delay Systems. 16. State Estimates of Stochastic Systems with Delay. Bibliography. Index.
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