Geodesic
Properties of solutions of quaternionic Riccati equations
Archivum mathematicum, Tome 58 (2022) no. 2, pp. 115-132 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.5817/AM2022-2-115
Classification : 34C99, 34L30
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 
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Grigorian, Gevorg Avagovich. Properties of solutions of quaternionic Riccati equations. Archivum mathematicum, Tome 58 (2022) no. 2, pp. 115-132. doi: 10.5817/AM2022-2-115

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