Global solvability criteria for quaternionic Riccati equations

DOI10.5817/AM2021-2-83MaRDI QIDQ4994505

G. A. Grigorian

Publication date: 18 June 2021

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05011

zbMATH Keywords

Riccati equationsquaternionsglobal solvabilitythe matrix representation of quaternionsthe solutions of linear systems satisfying of the completely non conjugation condition

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34C99)

Related Items (1)

Numerical solutions of quaternionic Riccati equations

Cites Work

• Applications of quaternionic holomorphic geometry to minimal surfaces
• On two comparison tests for linear second-order ordinary differential equations
• Quaternionic-valued ordinary differential equations. The Riccati equation
• Classification of diffeomorphisms of \(\mathbb{S}^4\) induced by quaternionic Riccati equations with periodic coefficients
• Two comparison criteria for scalar Riccati equations with applications
• Global solvability tests for a scalar Riccati equation with complex coefficients
• Periodic solutions of quaternionic-valued ordinary differential equations
• Quaternions and particle dynamics in the Euler fluid equations
• Ordinary Differential Equations

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