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Optimization and α-Disfocality for Ordinary Differential Equations

Published online by Cambridge University Press:  20 November 2018

M. Essén
M. Essén*
Affiliation:
University of Uppsala, Uppsala, Sweden
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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).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 37 , Issue 2 , 01 April 1985 , pp. 310 - 323
Copyright
Copyright © Canadian Mathematical Society 1985

References

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