• 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].

[2] K. Schmitt, R.C. Thompson: Nonlinear Analysis and Differential Equations - An Introduction, can be downloaded here.

[3] K. Kurzweil: Ordinary differential equations: introduction ... 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