Existence and Uniqueness Results for Quaternion-Valued Nonlinear Impulsive Differential Systems

Existence and global exponential stability of almost periodic solution for quaternion‐valued high‐order Hopfield neural networks with delays via a direct method

“…On the one hand, because quaternion‐valued functional differential equations have important applications in the fields of physics, communication, computer graphics, and neural networks, the study of various qualitative properties of quaternion‐valued functional differential equations has important theoretical and practical values . However, the quaternion multiplication does not satisfy the commutative law, which makes it difficult to study the qualitative behaviors of quaternion‐valued differential equations.…”