Hyers-Ulam stability for quantum equations
Hyers-Ulam stability for quantum equations
复制标题
量子方程的 Hyers-Ulam 稳定性
DOI：
10.1007/s00010-020-00734-1
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发表时间：
2021
影响因子：
0.8
通讯作者：
D. R. Anderson and M. Onitsuka
中科院分区：
文献类型：
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作者：
久保田 翔大;白川 健;Arturo Kohatsu-Higa;Joe Kamimoto;D. R. Anderson and M. Onitsuka
引入并研究了一阶Cayley量子（q-差分）方程的Hyers-Ulam稳定性（HUS），其中常系数允许在复数范围内变化.特别是，如果这个系数是非零的，那么量子方程具有Hyers-Ulam稳定性的凯莱参数的某些值，我们建立的最佳（最小）HUS常数的系数，独立的q和凯莱参数。如果Cayley参数等于一半，则对于复平面中的任何系数值都没有Hyers-Ulam稳定性。
We introduce and study the Hyers–Ulam stability (HUS) of a Cayley quantum (q-difference) equation of first order, where the constant coefficient is allowed to range over the complex numbers. In particular, if this coefficient is non-zero, then the quantum equation has Hyers–Ulam stability for certain values of the Cayley parameter, and we establish the best (minimal) HUS constant in terms of the coefficient only, independent ofqand the Cayley parameter. If the Cayley parameter equals one half, then there is no Hyers–Ulam stability for any coefficient value in the complex plane.