论文标题
$ 2 \ times 2 $恒定系数矩阵的Hyers-ulam稳定性
Hyers-Ulam stability for differential systems with $2\times 2$ constant coefficient matrix
论文作者
论文摘要
我们探索了均具有$ 2 \ times 2 $常数系数矩阵的均匀线性差分系统的扰动的Hyers-ulam稳定性。事实证明，线性系统成为Hyers-ulam稳定的新的必要条件，并且在某些情况下首次发现了系统的最佳（最小）Hyers-ulam常数。提供了几个示例。获得二阶恒定系数微分方程的最佳HYERS-ULAM常数说明了强结果的适用性。
We explore the Hyers-Ulam stability of perturbations for a homogeneous linear differential system with $2\times 2$ constant coefficient matrix. New necessary and sufficient conditions for the linear system to be Hyers-Ulam stable are proven, and for the first time, the best (minimal) Hyers-Ulam constant for systems is found in some cases. Several examples are provided. Obtaining the best Hyers-Ulam constant for second-order constant coefficient differential equations illustrates the applicability of the strong results.
