Question: Show that if > 1/2 there does not exist a real-valued function u such that for all x in the closed interval 0

Show that if λ > 1/2 there does not exist a real-valued
function u such that for all x in the closed interval
0 ≤ x ≤ 1, u(x) = 1 + λ∫¹_x u(y)u( y − x) dy.

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