A Note on a Singular Integral Equation Arising in a Problem in Communications

Positive solutions are established for the singular integral equation y(t) = f(t) + 1 ∫ u k(t,s)/[y(s) a ] + h(y(s))] ds, t ∈ [0,1] and α > 0 fixed. The case f ≡ h ≡ 0, α = 1 arises in communication theory.