The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. show the essential unity achieved in the theory fuzzy dynamic equations, dynamic inclusions and optimal control problems on time scales;
1. Calculus of Fuzzy Functions.- 2. First Order Fuzzy Dynamic Equations.- 3. Second Order Fuzzy Dynamic Equations.- 4. Functional Fuzzy Dynamic Equations.- 5. Impulsive Fuzzy Dynamic Equations.- 6. The Lebesgue Integration. Lp Spaces. Sobolev spaces.- 7. First Order Dynamic Inclusions.- 8. Second Order Dynamic Inclusions.- 9. Boundary Value Problems for First Order Impulsive Dynamic Inclusions.- 10. Controllability, Bang-Bang Principle.- 11. Linear Time-Optimal Control.- 12. The Pontryagin Maximum Principle.- 13. Dynamic Programming.- 14. Weak Solutions and Optimal Control Problems for Some Classes Linear First Order Dynamic Systems.- 15. Nonlinear Dynamic Equations and Optimal Control Problems.- 16 Nonlinear Integro-Dynamic Equations and Optimal Control Problems.- Appendix: Fuzzy Sets.- Appendix: Set-Valued Maps.- Appendix: Alaoglu's Theorem. Krein-Milman Theorem.- Appendix: Mazur's Theorem.- Index.