  We analyze existence, uniqueness and regularity of solutions for
perturbations of the Spence-Abel equation for the Rogers' dilogarithm. As an
application we deduce a version of Hyers-Ulam stability for the Spence-Abel
equation. Our analysis makes use of a well-known cohomological interpretation
of the Spence-Abel equation and is based on our recent results on continuous
bounded cohomology of SL(2,R).
