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

This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs). Employing the theory of quaternionic matrices, we prove the conditions for the solvability of the linear boundary valued problem and fi...

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Veröffentlicht in:	Boundary value problems 2023-11, Vol.2023 (1), p.113-34, Article 113
Hauptverfasser:	Liu, Jie, Sun, Siyu, Cheng, Zhibo
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Approximations and Expansions Boundary value problems Difference and Functional Equations Differential equations Green's functions Green’s function Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Periodic boundary value problem Quaternion-valued differential equation Quaternions Sturm–Liouville boundary value problem
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Zusammenfassung:	This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs). Employing the theory of quaternionic matrices, we prove the conditions for the solvability of the linear boundary valued problem and find Green’s function.
ISSN:	1687-2770 1687-2762 1687-2770
DOI:	10.1186/s13661-023-01802-6