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This study examines the global existence of solutions to the discreteRedner-Ben-Avraham-Kahng coagulation equations for a wide range of coagulationkernels $\theta_{i,j}$ defined as $\theta_{i,j} =\omega_i \omega_j+\kappa_{i,j}$ and $\kappa_{i,j} \le A \omega_i \omega_j, \ \ i,j \ge 1$ when$(\omega_i)_{i\ge 1}$ grows linearly or super-linearly with respect to $i$.

Weak solutions to the discrete Redner-Ben-Avraham-Kahng coagulation model