Quaternion-valued linear impulsive differential equations

DOI10.1007/s12346-021-00467-9zbMath1470.34039OpenAlexW3155584299WikidataQ115376666 ScholiaQ115376666MaRDI QIDQ2033097

JinRong Wang, Leping Suo, Michal Fečkan

Publication date: 14 June 2021

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

Full work available at URL: https://doi.org/10.1007/s12346-021-00467-9

zbMATH Keywords

linear impulsive differential equationsrepresentation of solutionquaternion-valued

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Related Items (14)

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 ⋮ Stability of quaternion-valued impulsive differential equations ⋮ Hyers-Ulam-Rassias stability of linear recurrence over the quaternion skew yield ⋮ Controllability and observability for linear quaternion-valued impulsive differential equations ⋮ A note on quaternion linear dynamical systems ⋮ Unnamed Item ⋮ On the stability of linear quaternion-valued differential equations ⋮ Hyers-Ulam stability for linear quaternion-valued differential equations with constant coefficient ⋮ An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems ⋮ 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

• Unnamed Item
• Solving quaternion ordinary differential equations with two-sided coefficients
• Existence and uniqueness results for quaternion-valued nonlinear impulsive differential systems
• Affine-periodic solutions for impulsive differential systems
• JORDAN CANONICAL FORM OF A PARTITIONED COMPLEX MATRIX AND ITS APPLICATION TO REAL QUATERNION MATRICES
• Laplace transform: a new approach in solving linear quaternion differential equations
• Linear Quaternion Differential Equations: Basic Theory and Fundamental Results

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