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We obtain a result on Ulam stability and on the best Ulam constant for the linear difference equation $$x_{n+3}=ax_{n+2}+bx_{n+1}+c x_n,$$$$a,b,c \in \mathbb {K}$$, where $$\mathbb {K}$$ is one of the… Click to show full abstract
We obtain a result on Ulam stability and on the best Ulam constant for the linear difference equation $$x_{n+3}=ax_{n+2}+bx_{n+1}+c x_n,$$$$a,b,c \in \mathbb {K}$$, where $$\mathbb {K}$$ is one of the fields $$\mathbb {R}$$ or $$\mathbb {C},$$ and $$(x_n)_{n\ge 0}$$ is a sequence in a Banach space X over the field $$\mathbb {K}$$.
Keywords:
difference equation;
linear difference;
ulam stability
Journal Title: Aequationes Mathematicae
Year Published: 2020
Link to full text (if available)
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Journal Title: Aequationes Mathematicae
Year Published: 2020
Link to full text (if available)
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recommendations!