  We consider an inverse problem for the nonlinear Boltzmann equation with a
time-dependent kernel in dimensions $n\ge 2$. We establish a logarithm-type
stability result for the collision kernel from measurements under certain
additional conditions. A uniqueness result is derived as an immediate
consequence of the stability result. Our approach relies on second-order
linearization, multivariate finite differences, as well as the stability of the
light-ray transform.
