ORDINARY DIFFERENTIAL EQUATIONS 2 - WS 2015/16

Initial requirements

It is assumed that students are familiar with the topics contained in the course Ordinary Differential Equations, NMMA333. In particular

Basic existence and uniqueness theory, continuous dependence (see Grant, Chapter 1)
Linear systems, matrix exponential (see Grant, Chapter 2)
Stability theory, linearized stability, Lyapunov's direct method (see Grant, Chapters 3.3 - 3.5)

In each of the books mention above, there are some exercises. There is also an internet collection of problems.

Grant	Christopher Grant: Lecture Notes on Ordinary Differential Equations. (to download here)
Kurzweil	Jaroslav Kurzweil: Ordinary Differential Equations, Elsevier, 1986.
Carr	Jack Carr: Applications of centre manifold theory. Springer 1981.
Evans	Laurence C. Evans: An Introduction to Mathematical Optimal Control Theory. (to download here)
Hale&Kocak	Jack K. Hale, Huseyin Kocak: Dynamics and bifurcations. Springer 1991.