On the best Ulam constant of a first order linear difference equation in Banach spaces
Acta Mathematica Hungarica, ISSN: 1588-2632, Vol: 163, Issue: 2, Page: 563-575
2021
- 7Citations
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- Citations7
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- CrossRef5
Article Description
We obtain some results on Ulam stability for the linear difference equation xn+1=anxn+bn,n≥0, ina Banach space X. If there exists lim | a| = λ, thenthe equation is Ulam stable if and only if λ≠ 1. Moreoverif (| a|) is a monotone sequence, then the best Ulam constant of the equation is 1|λ-1|.
Bibliographic Details
Springer Science and Business Media LLC
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