- Chapter 13 - Dynamical systems: see [1], Lectures 18 and 19.
- Chapter 14 - LaSalle's Invariance Principle: see [1], Lecture 23.
- Chapter 15 - Poincaré-Bendixson theory: see [1], Lecture 39.
- Chapter 16 - Carathéodory solutions: see [3], Chapter 18.
- Chapter 17 - Sturm-Liouville theory: see [2], Chapter XI.
- Chapter 18 - Optimal control theory: see [5], Chapters 1--4.
- Chapter 19 - Bifurcation theory: see [6].
- Chapter 20 - Invariant manifolds: see [7].
[1] Ch. Grant: Theory of Ordinary Differential Equations.
[2] K. Schmitt, R.C. Thompson:
Nonlinear Analysis and Differential Equations - An Introduction.
[3] K. Kurzweil:
Ordinary differential equations.
Karlín library: QA372.K9813 1986
[5] L. C. Evans:
An Introduction to Mathematical Optimal Control Theory,
can be downloaded
here.
[6] J. K. Hale, H. Koçak:
Dynamics and bifurcations,
Karlín library: QA372.H183 1991
[7] J. Carr:
Applications of centre manifold theory,
Karlín library: QA613.C17 1981