论文标题
具有定期系数的一阶H-差异方程的ULAM稳定性的最佳常数
Best constant for Ulam stability of first-order h-difference equations with periodic coefficient
论文作者
论文摘要
我们建立了具有定期系数的一阶线性$ h $ difference方程的ULAM稳定性的最佳（最小）常数。首先，我们显示ULAM稳定性，并找到具有两个周期系数的一阶线性方程的ULAM稳定性常数，并给出了几个示例。在最后一部分中，我们证明了ULAM稳定性的定期系数函数。还包括有关与周期系数的相关一阶扰动线性方程的结果。
We establish the best (minimum) constant for Ulam stability of first-order linear $h$-difference equations with a periodic coefficient. First, we show Ulam stability and find the Ulam stability constant for a first-order linear equation with a period-two coefficient, and give several examples. In the last section we prove Ulam stability for a periodic coefficient function of arbitrary finite period. Results on the associated first-order perturbed linear equation with periodic coefficient are also included.
