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We improve results regarding the stability and attractivity of solutions $u$of a large class of initial-boundary-value problems characterized by asemi-linear third order equation which may contain time-dependent coefficients.In the proof we use Liapunov functionals $W$ depending on two parameters, whichwe adapt to the 'error' $\sigma$.

Qualitative properties for a class of non-autonomous semi-linear 3rd order PDE arising in dissipative problems