Properties of solutions of quaternionic Riccati equations
G. A. Grigorian
TL;DR
This paper investigates the properties of solutions to quaternionic Riccati equations and applies these findings to analyze the asymptotic behavior of solutions to related linear quaternionic differential equations.
Contribution
It introduces new properties of regular solutions to quaternionic Riccati equations and uses them to study asymptotic behaviors of associated linear equations.
Findings
Properties of regular solutions of quaternionic Riccati equations established.
Asymptotic behavior of solutions to linear quaternionic ODEs analyzed.
Results enhance understanding of quaternionic differential equations.
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.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Elasticity and Wave Propagation · Advanced Differential Geometry Research