Linear Quaternion Differential Equations: Basic Theory and Fundamental Results

By Kit Ian Kou, Yonghui Xia. 2015

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Quaternion‐valued differential equations (QDEs) are a new kind of differential equations which have many applications in physics and life sciences. The largest difference between QDEs and ordinary differential equations (ODEs) is the algebraic structure. Due to the noncommutativity of the quaternion algebra, the set of all the solutions to the linear homogenous QDEs is completely different from ODEs. It is actually a right‐free module, not a linear vector space.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d0c559038207d55d2955cc1d093a2202c5b253d7