Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Constant Coefficients via Fourier Transform

Stability analysis of linear quaternion-valued differential equation using integral transform

“…Using delayed quaternion matrix exponentials and constant variation, Fu et al [4] found solutions for homogeneous and nonhomogeneous linear QDEs under the permutation matrix hypothesis. While Feckan et al [5] investigated the Hyers-Ulam stability of linear recurrence equations with constant coefficients in the quaternion sense, Lv et al [14] examined the Hyers-Ulam stability of linear QDEs using Fourier transforms. Furthermore, Zahid et al [21] computed the exponential matrix of QDEs, and Huang et al [6] examined the stability of QDEs in the context of quaternions using the second Lyapunov technique.…”