  Context. Transverse oscillations of coronal structures are currently
intensively studied to explore the associated magnetohydrodynamic wave physics
and perform seismology of the local medium. Aims. We make a first attempt to
measure the thermodynamic evolution of a sample of coronal loops that undergo
decaying kink oscillations in response to an eruption in the corresponding
active region. Methods. Using data from the six coronal wavelengths of SDO/AIA,
we performed a differential emission measure (DEM) analysis of 15 coronal loops
before, during, and after the eruption and oscillation. Results. We find that
the emission measure, temperature, and width of the DEM distribution undergo
significant variations on time scales relevant for the study of transverse
oscillations. There are no clear collective trends of increases or decreases
for the parameters we analysed. The strongest variations of the parameters
occur during the initial perturbation of the loops, and the influence of
background structures may also account for much of this variation. Conclusions.
The DEM analysis of oscillating coronal loops in erupting active regions shows
evidence of evolution on time scales important for the study of the
oscillations. Further work is needed to separate the various observational and
physical mechanisms that may be responsible for the variations in temperature,
DEM distribution width, and total emission measure.
