Author-hosted preliminary version. The printed book was published by the American Mathematical Society in 2012; the author page’s last-modified date is not a PDF revision date.
Cited passages: Gerald Teschl, Ordinary Differential Equations and Dynamical Systems, §2.7, Theorem 2.19, printed p. 56: forward existence and the analogous backward result; Teschl, Theorem 2.17, p. 53; Teschl, §2.7, printed pp. 54–56, equations (2.69), (2.71)–(2.76): polygon bounds, compactness, and vanishing integral defect.