Global solvability criteria for quaternionic Riccati equations
G. A. Grigorian
TL;DR
This paper establishes global existence criteria for quaternionic Riccati equations and applies them to prove a non conjugation theorem for solutions of linear ODE systems.
Contribution
It introduces new global solvability criteria for quaternionic Riccati equations and demonstrates their application to linear differential systems.
Findings
Two global existence criteria for quaternionic Riccati equations.
A non conjugation theorem for solutions of linear ODE systems.
Application of criteria to linear systems.
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.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Elasticity and Wave Propagation · Dynamics and Control of Mechanical Systems