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An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems
2021
Discrete and Continuous Dynamical Systems. Series S
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<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>
doi:10.3934/dcdss.2021162
fatcat:2xvdtu2ycbgwxhgak5m5i2kp74