Remarks on stability and non-stability of the linear functional equation of the first order

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摘要

We prove some results on stability and non-stability of the linear functional equation of the first order, in single variable. Moreover we suggest some possible definitions of stability and non-stability.

论文关键词：Hyers–Ulam stability,Non-stability,Linear functional equation,Single variable

论文评审过程：Available online 26 April 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.04.008