An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems
Yonghui Xia, Hai Huang, Kit Ian Kou
Abstract
<p style='text-indent:20px;'>Quaternion-valued differential equations (QDEs) is a new kind of differential equations. In this paper, an algorithm was presented for solving linear nonhomogeneous quaternionic-valued differential equations. The variation of constants formula was established for the nonhomogeneous quaternionic-valued differential equations. Moreover, several examples showed the feasibility of our algorithm. Finally, some open problems end this paper.</p>
Topics & Concepts
QuaternionMathematicsAlgorithmDifferential (mechanical device)Computer scienceApplied mathematicsAlgebra over a fieldPure mathematicsEngineeringGeometryAerospace engineeringAlgebraic and Geometric AnalysisElasticity and Wave PropagationMatrix Theory and Algorithms