文摘
英文文摘
声明
Chapter 1 Introduction
Chapter 2 The Time Scales Calculus
2.1 Basic Definitions
2.2 Differentiation
2.3 Integration
2.4 The Generalized Exponential Function
2.5 Trigonometric Functions
2.6 Polynomials
2.7 Examples
Chapter 3 Banach Spaces and Arzela-Ascoli Theorem on Time Scales
3.1 The Banach Space on Time scales
3.2 Arzela-Ascoli Theorem on Time Scales
Chapter 4 Linear Equations and Adjoint Equations
4.1 First Order Linear Dynamic Equations
4.2 Example and Applications
4.3 The Weak Solution of Linear Dynamic Equations
4.4 The Adjoint Equations
Chapter 5 Optimal Control Problems on Time Scales
5.1 Controlled System
5.2 Existence of Optimal Control Problems
Chapter 6 Further Research
Acknowledgments
Bibliography
Appendix