On the best Ulam constant of a first order linear difference equation in Banach spaces
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DOI: 10.1007/s10474-020-01098-3
Abstract: We obtain some results on Ulam stability for the linear difference equation $$x_{n+1}=a_nx_n+b_n,\, n\geq0$$ , in a Banach space X. If there exists $$\lim_{n\to\infty}|a_n|=\lambda$$ , then the equation is Ulam stable if and only if… read more here.
Keywords: linear difference; best ulam; difference equation; equation ... See more keywords