On the stability of linear quaternion-valued differential equations

DOI10.1007/s12346-021-00540-3zbMath1483.34021OpenAlexW3214742951WikidataQ115376652 ScholiaQ115376652MaRDI QIDQ2052912

Dan Chen, Michal Fečkan, JinRong Wang

Publication date: 29 November 2021

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-021-00540-3

zbMATH Keywords

Hyers-Ulam stabilityexponential estimationquaternion-valued differential equations

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30)

Related Items (13)

Linear quaternion-valued difference equations: Representation of solutions, controllability, and observability ⋮ Investigation of controllability and observability for linear quaternion-valued systems from its complex-valued systems ⋮ Hyers-Ulam stability of linear quaternion-valued differential equations with constant coefficients via Fourier transform ⋮ Representation of solutions to linear quaternion differential equations with delay ⋮ Relative Controllability of Quaternion Differential Equations with Delay ⋮ Hyers-Ulam stability of linear homogeneous quaternion-valued difference equations ⋮ Stability of quaternion-valued impulsive differential equations ⋮ Hyers-Ulam-Rassias stability of linear recurrence over the quaternion skew yield ⋮ A note on quaternion linear dynamical systems ⋮ Unnamed Item ⋮ Hyers-Ulam stability for linear quaternion-valued differential equations with constant coefficient ⋮ Existence of periodic solutions to quaternion-valued impulsive differential equations ⋮ Hyers-Ulam stability of linear recurrence with constant coefficients over the quaternion skew yield

Cites Work

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• Generalized alomari functionals
• Hyers-Ulam stability of the first-order matrix differential equations
• Quaternionic quantum field theory
• Determinantal representations of solutions to systems of quaternion matrix equations
• Quaternion-valued linear impulsive differential equations
• JORDAN CANONICAL FORM OF A PARTITIONED COMPLEX MATRIX AND ITS APPLICATION TO REAL QUATERNION MATRICES
• Quaternionic potentials in non-relativistic quantum mechanics
• Linear Quaternion Differential Equations: Basic Theory and Fundamental Results
• Stability of functional equations in several variables
• Quaternions and matrices of quaternions

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