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On the Hyers-Ulam stability of the first order linear recurrence. (English) Zbl 1112.39024

Summary: We give a stability result in Hyers-Ulam sense for the first order linear recurrence in a Banach space.

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
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