  We constrain two non-flat time-evolving dark energy cosmological models by
using Hubble parameter data, Type Ia supernova apparent magnitude measurements,
and baryonic acoustic oscillation peak length scale observations. The inclusion
of space curvature as a free parameter in the analysis results in a significant
broadening of the allowed range of values of the parameter that governs the
time evolution of the dark energy density in these models. While consistent
with the "standard" spatially-flat $\Lambda$CDM cosmological model, these data
are also consistent with a range of mildly non-flat, slowly time-varying dark
energy models. After marginalizing over all other parameters, these data
require the averaged magnitude of the curvature density parameter
$|\Omega_{k0}| \lesssim 0.15$ at 1$\sigma$ confidence.
