Problem (F’95, #6). Define Lg(x) = -g” (c)+((c)g(1) on (0, a). Denote q-(x) = min(q(x), 0). We seek conditions on q-(x)
Posted: Wed Mar 30, 2022 9:59 am
Problem (F’95, #6). Define Lg(x) = -g” (c)+((c)g(1) on (0, a). Denote q-(x) = min(q(x), 0). We seek conditions on q-(x) so that I will be nonnegative definite on C (0, a), i.e., = a (Lộ, 6) = () Lộ (2) da 20 Vo e CO (0,a). (5.24) Find optimal conditions on q-(c) so that (5.24) holds. Can q-(x) be unbounded and (5.24) still hold?