Stability in the right-hand side of nonlocal difference schemes

Prior bounds expressing stability in the right-hand side are constructed for difference schemes approximating the heat equation with nonlocal boundary conditions. The constraints on the grid increment guaranteeing stability in the right-hand side are identical with the previously established criteria for stability in initial values. __________ Translated from Prikladnaya Matematika i Informatika, No. 23, pp. 134–139, 2006.