Geodesic
Optimization and α-Disfocality for Ordinary Differential Equations
Canadian journal of mathematics, Tome 37 (1985) no. 2, pp. 310-323

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For f ∊ L −1(0, T), we define the distribution function where T is a fixed positive number and |·| denotes Lebesgue measure. Let Φ:[0, T] → [0, m] be a nonincreasing, right continuous function. In an earlier paper [3], we discussed the equation (0.1) when the coefficient q was allowed to vary in the class We were in particular interested in finding the supremum and infimum of y(T) when q was in or in the convex hull Ω(Φ) of (see below). 
Essén, M. Optimization and α-Disfocality for Ordinary Differential Equations. Canadian journal of mathematics, Tome 37 (1985) no. 2, pp. 310-323. doi: 10.4153/CJM-1985-019-3
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