论文标题
Hyers - 量子方程的紫外线稳定性
Hyers--Ulam stability for quantum equations
论文作者
论文摘要
我们介绍并研究了一阶的Cayley量子（$ Q $ - 差异）方程的Hyers-ulam稳定性（HUS），其中允许恒定系数在复数上范围。特别是，如果该系数为非零，则量子方程为HYERS - 用于Cayley参数的某些值的ULAM稳定性，并且我们仅根据系数建立了最佳（最小）HUS常数，而仅$ Q $和Cayley参数。如果Cayley参数等于一半，则没有HYERS - 在复杂平面中任何系数值的紫外线稳定性。
We introduce and study the Hyers--Ulam stability (HUS) of a Cayley quantum ($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 of $q$ and 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.
