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- New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential EquationsPublication . Simões, Alberto M.; Carapau, Fernando; Correia, PauloIn this work, we present suficient conditions in order to establish different types of Ulam stabilities for a class of higher order integro-differential equations. In particular, we consider a new kind of stability, the sigma-semi-Hyers-Ulam stability, which is in some sense between the Hyers-Ulam and the Hyers-Ulam-Rassias stabilities. These new suficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a speci fic generalization of the Bielecki metric.