Introduction to the Theory and Applications of Functional Differential Equations

Inhaltsverzeichnis

• 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.