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math.CA2019
Sampling expansions associated with quaternion difference equations
Dong Cheng, Kit Ian Kou, Yonghui Xia +1
Starting with a quaternion difference equation with boundary conditions, a parameterized sequence which is complete in finite dimensional quaternion Hilbert space is derived. By em…
math.CA2019
Floquet Theory for Quaternion-valued Differential Equations
Dong Cheng, Kit Ian Kou, Yong Hui Xia
This paper describes the Floquet theory for quaternion-valued differential equations (QDEs). The Floquet normal form of fundamental matrix for linear QDEs with periodic coefficient…