Address: Institute of Mathematics NAS of Armenia
E-mail: mathphys2@instmath.sci.am
Abstract: In this paper we study properties of regular solutions of quaternionic Riccati equations. The obtained results we use for study of the asymptotic behavior of solutions of two first-order linear quaternionic ordinary differential equations.
AMSclassification: primary 34L30; secondary 34C99.
Keywords: quaternions, the matrix representation of quaternions, quaternionic Riccati equations, regular, normal and extremal solutions of Riccati equations, normal, irreconci-lable, sub extremal and super extremal systems, principal and non principal solutions.
DOI: 10.5817/AM2022-2-115