Differential equations over octonions
Complex Variables
2018-12-18 v1
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.
Cite
@article{arxiv.1003.2620,
title = {Differential equations over octonions},
author = {Sergey V. Ludkovsky},
journal= {arXiv preprint arXiv:1003.2620},
year = {2018}
}
Comments
50 pages