We study the problem of solvability of the equation
ϕ(x) = ∫Ωg(ω)ϕ(f(x,ω))P(dω) + F(x)
where P is a probability measure on a σ-algebra of subsets of Ω, assuming Hölder continuity of F on the range of f.
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Vol. 38 No. 1 (2024)
Published: 2024-03-27