Stability of quaternion-valued impulsive differential equations

DOI10.1216/rmj.2023.53.209zbMath1518.34017MaRDI QIDQ6158200

JinRong Wang, Leping Suo

Publication date: 31 May 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-53/issue-1/STABILITY-OF-QUATERNION-VALUED-IMPULSIVE-DIFFERENTIAL-EQUATIONS/10.1216/rmj.2023.53.209.full

zbMATH Keywords

asymptotic stabilityimpulsive differential equationsUlam-Hyers-Rassias stabilityquaternion-valued

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Quaternionic functional analysis (46S05)

Cites Work

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• Global structure of quaternion polynomial differential equations
• Existence and uniqueness results for quaternion-valued nonlinear impulsive differential systems
• Quaternion-valued linear impulsive differential equations
• On the second Lyapunov method for quaternionic differential equations
• On the stability of linear quaternion-valued differential equations
• Investigation of controllability and observability for linear quaternion-valued systems from its complex-valued systems
• Floquet theory for quaternion-valued differential equations
• Stability analysis for a general class of non-instantaneous impulsive differential equations
• Basic Theory of Impulsive Quaternion-Valued Linear Systems
• Properties of solutions of quaternionic Riccati equations
• Linear Quaternion Differential Equations: Basic Theory and Fundamental Results

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