Introduction to the Theory and Applications of Functional Differential Equations

I. Modelling by Functional Differential Equations.- 1. Theoretical preliminaries.- 2. Models.- II. Theoretical Background of Functional Differential Equations.- 3. General theory.- 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. Application of the direct Liapunov method.- 10. Stability of stochastic functional differential equations.- 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.- 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.