Adopting the method of double time temperature dependent Green's funct
ions a new mode named 'Impurity-Anharmonicity Interaction Mode' is inv
estigated for the anharmonic crystals containing isotopic impurities.
The widths and shifts related to this mode show strong dependence on t
emperature and impurity concentration. The effect of temperature is fo
und to be two-folds: one the explicit temperature dependence and the o
ther via renormalized phonon frequencies. The present investigations i
nvolve non-perturbative approach and nowhere use the quasi-harmonic ap
proximation.