Boundary value problems of quaternion-valued differential equations: solvability and Green's function

DOI10.1186/s13661-023-01802-6MaRDI QIDQ6126918

Jie Liu, Zhibo Cheng, Siyu Sun

Publication date: 10 April 2024

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

Green's functionperiodic boundary value problemSturm-Liouville boundary value problemquaternion-valued differential equation

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

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• On the eigenvalues of quaternion matrices
• One-dimensional quaternion homogeneous polynomial differential equations
• Definition of determinant and cramer solutions over the quaternion field
• Laplace transform: a new approach in solving linear quaternion differential equations
• Linear Quaternion Differential Equations: Basic Theory and Fundamental Results
• Ordinary Differential Equations

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