In regard to death of tenant

A rent control case was filed by the landlord against the tenant for eviction. During the course of the proceedings he died. The landlord filing one memo seeking the details from the counsel of the tenant to give details as to the legal representative since the tenant who died had got three sons. The advocate of the tenant filed reply to the memo stating that only one person who took care of the father's business while he was alive so he would be impleaded as his LR. Therefore His son was impleaded as legal representative and he contested the case. During the appeal of the rent control case he too dies. what will be the solution to the landlord. Again the impleading the LRs to be done or is there any way out for bringing the curtain of the case once for all.