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arXiv · 1003.2620

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.

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Sergey V. Ludkovsky. 2010-03-12. Differential equations over octonions. https://doi.org/10.1007/s00006-011-0286-4

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