Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales
Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales
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DOI：
10.1515/dema-2018-0018
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发表时间：
2018-08
影响因子：
2
通讯作者：
D. Anderson;M. Onitsuka
中科院分区：
文献类型：
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作者：
D. Anderson;M. Onitsuka
本文建立了时标上一类一阶线性常系数动力学方程的Hyers-Ulam稳定性，其中包括连续（步长为零）和离散（步长为常数和非零）动力学方程的重要特例。特别是，对于某些参数值的粒度的时间尺度，我们找到最小的HUS常数。提供了一些非平凡的例子。此外，还包括一个扰动线性动力学方程的应用。
Abstract We establish theHyers-Ulam stability (HUS) of certain first-order linear constant coefficient dynamic equations on time scales, which include the continuous (step size zero) and the discrete (step size constant and nonzero) dynamic equations as important special cases. In particular, for certain parameter values in relation to the graininess of the time scale, we find the minimum HUS constants. A few nontrivial examples are provided. Moreover, an application to a perturbed linear dynamic equation is also included.