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Best Ulam constant for a linear difference equation. (English) Zbl 1463.39035

Summary: In this paper we provide some results on Ulam stability for the linear difference equation of order one in Banach spaces and we determine its best Ulam constant. The main result is applied to a process of loan amortization.

MSC:

39A30 Stability theory for difference equations
39B82 Stability, separation, extension, and related topics for functional equations
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