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arXiv:1003.2620math.CV

Differential equations over octonions

Sergey V. Ludkovsky

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Abstract

Differential equations with constant and variable coefficients over octonions are investigated. It is found that different types of differential equations over octonions can be resolved. For this purpose non-commutative line integration is used. Such technique is applied to linear and non-linear partial differential equations in real variables. Possible areas of applications of these results are outlined.

arXiv comments
50 pages
Journal reference
2011, Adv. Appl. Clifford Alg., V. 21: 4
DOI
doi:10.1007/s00006-011-0286-4
Subjects
math.CVComplex Variables

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  1. Quaternion Differentiation (2012) 1 comment

    • A) This is one of the best pieces of math pedagogy I've seen in ages. A true "explanation" instead of a "reference" -- thanks for sharing. B) I think we should pass a hacker news law via referendum (that's a thing, right? It should be!) that any article mentioning quaternions…

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