Geodesic
Global solvability criteria for quaternionic Riccati equations
Archivum mathematicum, Tome 57 (2021) no. 2, pp. 83-99.

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Some global existence criteria for quaternionic Riccati equations are established. Two of them are used to prove a completely non conjugation theorem for solutions of linear systems of ordinary differential equations.
DOI : 10.5817/AM2021-2-83
Classification : 34C99
Keywords: Riccati equations; quaternions; the matrix representation of quaternions; global solvability; the solutions of linear systems satisfying of the completely non conjugation condition 
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     author = {Grigorian, G.A.},
     title = {Global solvability criteria for quaternionic {Riccati} equations},
     journal = {Archivum mathematicum},
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Grigorian, G.A. Global solvability criteria for quaternionic Riccati equations. Archivum mathematicum, Tome 57 (2021) no. 2, pp. 83-99. doi : 10.5817/AM2021-2-83. http://geodesic.mathdoc.fr/articles/10.5817/AM2021-2-83/

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