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The influence of the atomic-scale inhomogeneities of the pairing interactionon the superconducting order parameter distribution and the LDOS is studied inthe framework of mean-field BCS theory for two-dimensional lattice model. It isfound that the ratio of the local low-temperature gap in differentialconductance to the local temperature of vanishing the gap $2\Delta_g/T_p$ cantake large enough values compared to the homogeneous case. This ratiopractically does not depend on the location in the sample and is independent onthe concentration of local pair interaction perturbations in wide range ofconcentrations. The obtained results could bear a relation to the recentmeasurements by Gomes {\it et. al} Nature, 447, 569 (2007).

Influence of the atomic scale inhomogeneity of the pair interaction on the local pair formation and density of states in high-T_c superconductors