The coefficients of Sellmeier dispersion equations for the new promising nonlinear mixed crystals AgGa(Se1-xSx)2 are found for the first time. The phase matching diagrams for three-frequency interactions are calculated and plotted. The dispersion of group-velocity matching for second harmonic generation is determined. The influence of the mixing ratio on the phase-matching conditions is studied for different schemes: optical parametric oscillators pumped with YAG:Ho3+ (2.1 mkm) and YAG:Nd3+ (1.064 mkm) lasers, CO2 laser second harmonic generation. The surface damage threshold is estimated.