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Keywords:
Riccati equations; quaternions; the matrix representation of quaternions; global solvability; the solutions of linear systems satisfying of the completely non conjugation condition
Riccati equations; quaternions; the matrix representation of quaternions; global solvability; the solutions of linear systems satisfying of the completely non conjugation condition
Summary:
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.
References:
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