Address: Institute of Mathematics NAS of Armenia,
E-mail: mathphys2@instmath.sci.am
Abstract: 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.
AMSclassification: primary 34C99.
Keywords: Riccati equations, quaternions, the matrix representation of quaternions, global solvability, the solutions of linear systems satisfying of the completely non conjugation condition.
DOI: 10.5817/AM2021-2-83