Stability Of Dynamical Systems: Appendix A Limiting Equations And Stability Of Nonautonomous Ordinary Differential Equations (cbms-nsf Regional Conference Series In Applied Mathematics 25)

The Stability of Dynamical Systems......Page 1 Contents......Page 8 Preface......Page 10 CHAPTER 1 Difference Equations. Discrete Semidynamical Systems......Page 12 CHAPTER 2 Ordinary Differential Equations. Local Dynamical Systems......Page 38 CHAPTER 3 Functional Differential Equations. Local Semidynamical Systems......Page 50 CHAPTER 4 Abstract Discrete Dynamical Systems and Processes. Nonautonomous Difference Equations......Page 56 References......Page 62 APPENDIX A Limiting Equations and Stability of Nonautonomous Ordinary Differential Equations......Page 68 An introduction to aspects of the theory of dynamial systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations. The latest results on invariance properties for non-autonomous time-varying systems processes are presented for difference and differential equations