Quaternionic-valued ordinary differential equations. II: Coinciding sectors

DOI10.1016/j.jde.2012.01.005zbMath1259.34032OpenAlexW2027944669MaRDI QIDQ763752

Paweł Wilczyński

Publication date: 29 March 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.01.005

zbMATH Keywords

periodic solutionsBrouwer fixed point theoremWazewski methodquaternionic-valued differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Fixed-point theorems (47H10)

Related Items (10)

Solving quaternion ordinary differential equations with two-sided coefficients ⋮ Existence and global exponential stability of anti-periodic solutions for quaternion-valued cellular neural networks with time-varying delays ⋮ A decomposition method for solving quaternion differential equations ⋮ Quaternion-Valued Breather Soliton, Rational, and Periodic KdV Solutions ⋮ A UNIFIED ANALYSIS OF LINEAR QUATERNION DYNAMIC EQUATIONS ON TIME SCALES ⋮ On the second Lyapunov method for quaternionic differential equations ⋮ Floquet theory for quaternion-valued differential equations ⋮ A new quaternion hyper-complex space with hyper argument and basic functions via quaternion dynamic equations ⋮ An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems ⋮ Unnamed Item

Cites Work

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• Planar nonautonomous polynomial equations: the Riccati equation
• Periodic solutions of quaternionic-valued ordinary differential equations
• An integral theorem for analytic intrinsic functions on quaternions
• Über einen Hartogsschen Satz
• One-dimensional quaternion homogeneous polynomial differential equations
• Quaternions and particle dynamics in the Euler fluid equations
• Modified quaternionic analysis in

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